# What is the seventh term of the geometric sequence where a1=-4,096 a4=64 ?

##### 1 Answer

#### Answer

#### Answer:

#### Explanation

#### Explanation:

#### Answer:

The seventh term of the geometric sequence is

#### Explanation:

Given:

To find:

We know that,

In geometric progression, the successive terms are in constant ratio.

Let r be the constant ratio.

1st term

2nd term

3rd term

4th term

Equating

Simplifying,

Thus,

By the law of indices

Now,

Simplifying

The common ratio is thus,

5th term

6th term

7th term

Listing the series

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