What is the 6th number of the sequence 2 6 18?

⇒ =2×243=486.

What is the sum of the first 6th terms of the sequence 2 6 18?

-364
Summary: The sum of the first six terms of the above geometric series is -364.

What is the sum of the geometric series 2 6 18?

There are 7 terms in the geometric sequence, whose first term is 2, the common ratio is and the sum is 2187.

WHAT IS A in geometric series?

In general, a geometric series is written as a + ar + ar2 + ar3 + , where a is the coefficient of each term and r is the common ratio between adjacent terms. Geometric series are among the simplest examples of infinite series and can serve as a basic introduction to Taylor series and Fourier series.

What is the next term in the sequence 2 6 18?

A geometric sequence (also known as a geometric progression) is a sequence of numbers in which the ratio of consecutive terms is always the same. For example, in the geometric sequence 2, 6, 18, 54, 162, …, the ratio is always 3.

What is the seventh term of the geometric sequence 2 6 18?

Complete step-by-step answer: Thus the 7th term is 1458.

What is the sum of the geometric series?

To find the sum of a finite geometric series, use the formula, Sn=a1(1−rn)1−r,r≠1 , where n is the number of terms, a1 is the first term and r is the common ratio . Example 3: Find the sum of the first 8 terms of the geometric series if a1=1 and r=2 .

What is the next term of the geometric sequence 2 6 18?

where,a1 is first term and r is common ratio. Here, Geometric Sequence: 2,6,18,…,118098. Hence, 118098 is the 11thterm.

How many terms of the GP 2 6 18 are needed to give a sum of 6560?

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.