Find the sum of first 5 terms of the series 11, 121, 1331,...Choices:- 177155 12321 24123 23232

The given series is a geometric series where each term is the cube of the corresponding term in the series 1, 2, 3, 4, 5, ...

The sum of the first n terms of a geometric series can be calculated 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,
• n is the number of terms.

In this case, a = 11 (the first term), r = 121 / 11 = 11 (the common ratio), and n = 5 (the number of terms).

So, the sum of the first 5 terms is:

S_5 = 11 * (11^5 - 1) / (11 - 1) = 11 * (161051 - 1) / 10 = 11 * 161050 / 10 = 177155

So, the sum of the first 5 terms of the series is 177155.