What will be the sum of the sequence up to 5th term 9, 36, 144, 576, ...? 3069 3070 3071 3072

This is a geometric sequence where each term is 4 times the previous term.

The sum of the first n terms of a geometric sequence can be found using the formula:

S_n = a * (r^n - 1) / (r - 1)

where:

• S_n is the sum of the first n terms,
• a is the first term,
• r is the common ratio, and
• n is the number of terms.

In this case, a = 9, r = 4, and n = 5.

So, the sum of the first 5 terms is:

S_5 = 9 * (4^5 - 1) / (4 - 1) S_5 = 9 * (1024 - 1) / 3 S_5 = 9 * 1023 / 3 S_5 = 3 * 1023 S_5 = 3069

So, the sum of the sequence up to the 5th term is 3069.