Find the correct sum of each geometric sequence. a1 = 3, a8 = 384, r = 2 a1 = 343, an = -1, r = -1/7 a1 = 625, n= 5, r = 3/5 a1 = 4, n = 5, r = -3 a1 = 2401, n = 5, r = -1/7

1.765

2.301

3.1441

4.183

5.2101

Step-by-step explanation:

We are given that

1.

We know that sum of nth term in G.P is given by

when r > 1

when r < 1

n=8, r=2 a=3

Therefore, because r > 1

1. Sum of given G.P is 765

2.

nth term of G.P is given by the formula

Therefore , applying the formula

When base equal on both side then power should be equal

Then we get n-1=3

n=3+1=4

Applying the formula of sum of G.P

where r < 1

3.

Therefore,

4.

where r < 1

5.

r < 1

answer: a.   one is a factor of every whole number since every number is divisible by itself.

a_n = a_1 + (n - 1)d

the first term is 6.

the common difference d = ?

when you find d, replace n with 7 and d with the common difference to find your answer.