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The second term of a

geometric sequence is 30 and
the common ratio of the
sequence is 2.
Write down a formula for the
nth term of the sequence.

1 Answer

4 votes

Answer & Step-by-step explanation:

The formula for the nth term of a geometric sequence is given by:

an = a1 * r^(n-1)

where an is the nth term, a1 is the first term, r is the common ratio, and n is the term number.

Given that the second term is 30 and the common ratio is 2, we can write:

a2 = a1 * r

30 = a1 * 2

a1 = 15

Therefore, the formula for the nth term of the sequence is:

an = 15 * 2^(n-1)

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