Question

37th term; a1 = 2.3; d = -2.3

Answer 1

Answer:

37th term of given arithmetic sequence $a_1$ = 2.3; d = -2.3 is -80.5.

Solution:

Given that  

Need to determine 37th term, when $a_1$ = 2.3, d = -2.3

Means first term of arithmetic sequence = $a_1$ = 2.3 and common difference d = -2.3

Formula for nth term of arithmetic sequence is  

$\mathrm{a}_{\mathrm{n}}=\mathrm{a}_{1}+(\mathrm{n}-1) \mathrm{d}$  --- equation 1

$\text { In our case } a_{1}=2.3, d=-2.3$

We need to determine 37th term so n = 37.

On substituting given values in equation (1) we get

$\mathrm{a}_{37}=\mathrm{a}_{1}+(37-1) \mathrm{d}$

$\begin{array}{l}{\Rightarrow a_{37}=2.3+(37-1)(-2.3)} \\\\ {\Rightarrow a_{37}=2.3(1-36)=2.3 \times 35=-80.5}\end{array}$

Hence 37th term of given arithmetic sequence is -80.5