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ID: 3195495 • Letter: H

Question

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Explanation / Answer

Geometric sequence is a sequence of numbers that follows pattern where the next term is found by multiplying

by constant called common ratio r.

an = a1 rn-1

Where a1 is first term and r is common ratio.

Given, a1 = -6, r = -1

First term is found by putting n = 1 in above formula,

The first term is

a1 = a1 r1-1

a1 = -6 * 1

The first term is a1 = -6

Similarly, second term is found by putting n = 2

a2 = a1 r2-1

= -6 * (-1)1

= 6

The second term a2 = 6

Third term is found by putting n = 3

a3 = a1 r3-1

= -6 * (-1)2

= -6

The third term is -6

Fourth term is found by putting n = 4

a4 = a1 r4-1

= -6 * (-1)3

= 6

The fourth term is a4 = 6

The fifth term is found by putting n = 5

a5 = a1 r5-1

= -6 * (-1)4

= -6

The fifth term is a5 = -6

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