Question

Find the 23 rd term of the arithmetic sequence whose common difference is d=5 and whose first term is a1=1

Answer 1

nth term in an Arithmetic Sequence is given by :

✿  $\mathsf{T_n = a + (n - 1)d}$

Where : a is the First term and d is the Common Difference

Given : First term (a) = 1 and Common Difference (d) = 5

$\mathsf{\implies T_2_3 = 1 + (23 - 1)5}$

$\mathsf{\implies T_2_3 = 1 + (22)5}$

$\mathsf{\implies T_2_3 = 1 + 110}$

$\mathsf{\implies T_2_3 = 111}$

So, The 23rd Term of the Arithmetic Sequence is 111