Find the sum of the first 20 terms of an arithmetic series if the first term is 4 and the common difference is 3.

The sum of first 20 terms of Arithmetic Series is 650 if the first term is 4 and the common difference is 3.

Step-by-step explanation:

First Term (a) = 4

Common difference (d) = 3

The number of term (n) = 20

The sum of an Arithmetic series of (n) number of terms, with first term (a) and the common difference (d) is equal to

Sum = (n/2) * (2 * a + (n - 1) * d)

So putting the values of a, d, n

Sum = (20/2) * (2 * 4 + (20 - 1) * 3)

Sum = (10) * (8 + 19 * 3)

Sum = 10 * (8 + 57)

Sum = 10 * 65 = 650

Hence the sum of first 20 terms of Arithmetic Series is 650 if the first term is 4 and the common difference is 3.