Question

Find the partial sum s14 for the arithmetic sequence with first term a1 =3 and common difference d=4.

a) 134
b) 142
c) 150
d) 158

Answer 1

The partial sum of the arithmetic sequence is 406.

Step-by-step explanation:

The formula to find the partial sum of an arithmetic sequence is given by:

Sn = (n/2)(2a1 + (n-1)d)

Where Sn is the partial sum, a1 is the first term, d is the common difference, and n is the number of terms.

In this case, we are looking for the partial sum S14. Plugging in the values, we have:

S14 = (14/2)(2(3) + (14-1)(4))

S14 = 7(6 + 13(4))

S14 = 7(6 + 52)

S14 = 7(58)

S14 = 406

Therefore, the correct answer is 406.