What is the sum of the geometric sequence 1/6 36 if there are seven terms?

What is the sum of the geometric sequence 1/6 36 if there are seven terms?

The sum of the geometric sequence -1, 6, -36, …, if there are 7 terms, is S7 = -39991.

How do you find the sum of the terms in a geometric sequence?

0:192:41Learn how to determine the sum of a geometric finite series – YouTubeYouTubeStart of suggested clipEnd of suggested clipR represents the ratio what we talked about in geometric sequences to find r you simply just take rMoreR represents the ratio what we talked about in geometric sequences to find r you simply just take r equals a sub 2 divided by a sub 1..

How do you find the sum of the first n terms of a geometric sequence?

5:507:43Geometric Series – Sum of the first n terms – Proof (A level) – YouTubeYouTubeStart of suggested clipEnd of suggested clipSo we could factorize an a from both terms here a times 1 take r to the power of n. And divide byMoreSo we could factorize an a from both terms here a times 1 take r to the power of n. And divide by this one take r on the left hand.

What is the sum of a 7 term geometric series of the first term is?

Summary: The sum of the first seven terms of the given GP series is 16383.

What is the sum of the geometric sequence 6 36?

Summary: The sum of 6 terms of the given geometric sequence 1, -6, 36, … is S6 = -6665.

Which of the following is the correct recursive formula for the following sequence 6 36 216?

Answer and Explanation: The recursive rule for the sequence 1, -6, 36, -216, … is n×−6 n × − 6 .

What is the sum of the first six terms of the geometric series 2 6?

2 – 6 + 18 – 54 + … Summary: The sum of the first six terms of the above geometric series is -364.

What is the geometric sequence calculator?

About Geometric Sequence Calculator This Geometric Sequence Calculator is used to calculate the nth term and the sum of the first n terms of a geometric sequence.

What is the sum of the first six terms of the geometric series 2 6 18?

2 – 6 + 18 – 54 + … Summary: The sum of the first six terms of the above geometric series is -364.

What is the sum of the geometric sequence 1 36?

Summary: The sum of 6 terms of the given geometric sequence 1, -6, 36, … is S6 = -6665.

What is the sum of the first 7 terms of a geometric sequence 3 6 12?

381 Therefore, we have n = 7. Hence, the value of the sum of the first 7 terms is 381.

What kind of sequence is this 1/6 36 216?

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 6 gives the next term.

What will be the 6th term of Series 6 36216?

Hence, '46656' is the correct answer.

What is the common ratio of the given geometric sequence 1/6 36?

Algebra Examples This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 6 gives the next term. In other words, an=a1⋅rn−1 a n = a 1 ⋅ r n – 1 . This is the form of a geometric sequence.

What will be the next number in the series 6 36 216?

Hence, '46656' is the correct answer.

What is the sum of the first six terms of the given geometric sequence 2 6 18 54?

-364 2 – 6 + 18 – 54 + … Summary: The sum of the first six terms of the above geometric series is -364.

What is the sum of the first 8 terms of the geometric sequence 2 6 18 54?

The sum of first 8 terms of the geometric series 2 + 6 + 18 + 54 +… is (1) 6506 (2) 5650 (3) 6650 (4) 6560. Solution: The given series 2+6+18+54+…. is a GP. Hence option (4) is the answer.

How do you solve sequences?

9:269:54Math Made Easy Solving Number Sequences – YouTubeYouTube

How do you find terms in a sequence?

sequence determined by a = 2 and d = 3. Solution: To find a specific term of an arithmetic sequence, we use the formula for finding the nth term. Step 1: The nth term of an arithmetic sequence is given by an = a + (n – 1)d. So, to find the nth term, substitute the given values a = 2 and d = 3 into the formula.

What is the sum of the first eight terms of geometric sequence 2 6 18 54?

The sum of first 8 terms of the geometric series 2 + 6 + 18 + 54 +… is (1) 6506 (2) 5650 (3) 6650 (4) 6560. Solution: The given series 2+6+18+54+…. is a GP. Hence option (4) is the answer.

What is the 8th term of this geometric sequence 3 6 12 24?

Find the 8th Term 3 , 6 , 12 , 24 , 48 , 96 , 192 | Mathway.

What is the sum of the geometric sequence 3/15 75 If there are 7 terms?

58593 The sum of the geometric sequence 3, 15, 75, … if there are 7 terms is 58593.

What is the sum of the first 8 terms of the sequence 3 6 12 24?

So the sum of this sequence is 12288 .

How do you find the sum of the first 7 terms of a sequence?

0:002:30Sum of First 7 Terms in Geometric Series Q2 – YouTubeYouTube

What is the common ratio of the geometric sequence 1/6 36 216?

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 6 gives the next term. In other words, an=a1⋅rn−1 a n = a 1 ⋅ r n – 1 . This is the form of a geometric sequence.

What is the constant ratio between the consecutive terms 1/6 36 216?

6 is the common ratio of this sequence.

What is the sum of the series?

The sum of a series is the value of all the series' terms added together. They're two very different things, and we use a different calculation to find each one. Let's find both the limit and the sum of the same series so that we can see the difference.

What is the next number in the sequence 3 9 27?

Summary: The next number in the following series 3, 9, 27, 81, 243,.. should be 729.

What is the sum of the first 6 terms of this geometric series 2 6?

2 – 6 + 18 – 54 + … Summary: The sum of the first six terms of the above geometric series is -364.

What is the sum of the 6 terms of the geometric sequence?

The sum of 6 terms of the given geometric sequence 1, -6, 36, … is S6 = -6665.