Question

Find the first term and common ratio for the geometric sequence a2=-15 a4=-375

Answer 1

The first term and common ratio for the geometric sequence are -3 and 5 respectively

Geometric sequence

This are sequence that increases exponentially. The nth term of the sequence is given as:

Tn = ar^n-1

where;

a is the first term

r is the common ratio

n is the number of terms

ar = -15

ar^3 = -375

Divide

r^2 = 375/15

r^2 = 25

r = 5

Determine the first term

a= -15/r

a = -15/5

a = -3

Hence the first term and common ratio for the geometric sequence are -3 and 5 respectively

Learn more on sequence here: brainly.com/question/6561461

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