What is the 31st term of the arithmetic sequence 1.77, 1.92, 2.07

Mathematics · Middle School · Tue Nov 03 2020

Answered on

Given the arithmetic sequence:

1.77, 1.92, 2.07

Determine the 31st term.

n = 31

a1 = 1.77

a2 = 1.92

d = 1.92 - 1.77

d = 0.15

Formula for Arithmetic Sequence:

An = a1 + (n - 1) d

Solution:

Substitute the given values to the formula for arithmetic sequence.

A31 = 1.77 + (31 - 1) 0.15

A31 = 1.77 + (30)0.15

A31 = 1.77 + 4.5

A31 = 6.27

Final answer:
A31 = 6.27