Question

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

Answer 1

Answer:

Just took this test the correct answer is 1.2

Answer 2

Answer:

The correct answer option is 42.6.

Step-by-step 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.