Calculate the sum of the first 10 terms of the AP 5, 8, 11, 14, ...Options180190185195

The sum of the first n terms of an arithmetic progression can be calculated using the formula:

S_n = n/2 * (a + l)

where: S_n is the sum of the first n terms, n is the number of terms, a is the first term, and l is the last term.

In this case, the first term (a) is 5, and we want to find the sum of the first 10 terms (n = 10).

The common difference (d) in this arithmetic progression is 3 (8 - 5 = 3). We can find the last term (l) using the formula:

l = a + (n - 1) * d

Substituting the given values:

l = 5 + (10 - 1) * 3 = 5 + 27 = 32

Now we can find the sum of the first 10 terms:

S_10 = 10/2 * (5 + 32) = 5 * 37 = 185

So, the sum of the first 10 terms of the arithmetic progression 5, 8, 11, 14, ... is 185.