Question

Calculate s24 for the arithmetic sequence in which a13=1.9 and the common difference is d=3.7.

Answer 1

Just took this test the correct answer is 1.2

Answer 2

The correct answer option is 42.6.

Explanation:

We know that in a arithmetic sequence,
`a_(13)=1.9` and the common difference is
`(d)=3.7`.

The standard form of an arithmetic sequence is given by:

`a_n=a_1+(n-1)d`

So we will substitute the given values in this formula to find the value of
`a_1`.

`a_(13)=a_1+(13-1)3.7`

`1.9=a_1+(12)3.7`

`1.9=a_1+44.4`

`a_1=-42.5`

Now finding the 24th term"

`S_(24)=a_1+(n-1)d\\\\S_(24)=-42.5+(24-1)3.7\\\\\\S_(24)=42.6`.

Therefore, the 24th term of the given arithmetic sequence is 42.6.