Find out the answer to "Find the 18th term of the arithmetic sequence..."

calagolensey

Answered question

2022-08-24

Find the 18th term of the arithmetic sequence of 3,10,17,24

Mr Solver

Skilled2023-06-05Added 147 answers

To find the 18th term of the arithmetic sequence, we can use the formula for the nth term of an arithmetic sequence:

a_{n} = a_{1} + (n - 1) d

where

a_{n}

is the nth term,

a_{1}

is the first term,

n

is the term number, and

d

is the common difference.
In the given sequence 3, 10, 17, 24, we can see that the first term

a_{1}

is 3, and the common difference

d

is 7 (since each term is obtained by adding 7 to the previous term).
Substituting these values into the formula, we get:

a_{18} = 3 + (18 - 1) \cdot 7

Simplifying further:

a_{18} = 3 + 17 \cdot 7

a_{18} = 3 + 119

a_{18} = 122

Therefore, the 18th term of the arithmetic sequence 3, 10, 17, 24 is 122.

Do you have a similar question?

Recalculate according to your conditions!

Didn't find what you were looking for?