Find the 101st term of an arithmetic sequence if the common difference is 7 and the first term is 4. A) 704 B) 407 C) -696 D) 711

Mathematics · Middle School · Tue Nov 03 2020

Answered on

Given:

A1 = 4

Common Difference (d) = 7

Detrmine the 101st term.

n = 101

Formula for Arithmetic Sequence.

An = a1 + (n - 1) d

Solution:

Substitute the given values of a1, n and d to the formula for the arithmetic sequence.

An = a1 + (n - 1) d

A101 = 4 + (101 - 1) 7

A101 = 4 + (100)7

A101 = 4 + 700

A101 = 704

Final answer:

A101 = 704