Question

The seventeenth term of the A. P. : 3, 8, 13, ... will be :

• A. 83
• B. 88
• C. 98
• D. 105

Hint:

The common difference $d$ is always $a_2 - a_1$. Always check if $a_3 - a_2$ gives the same result to confirm it is an A.P.

Answer 1

The Correct Option is A

Step 1: Understanding the Concept:
The $n^{th}$ term of an Arithmetic Progression (A.P.) is calculated using the formula $a_n = a + (n-1)d$.
Step 2: Identifying Parameters:

First term ($a$) = 3
Common difference ($d$) = $8 - 3 = 5$
Term number ($n$) = 17
Step 3: Calculating the Term:
\[ a_{17} = 3 + (17 - 1) \times 5 \] \[ a_{17} = 3 + (16 \times 5) \] \[ a_{17} = 3 + 80 = 83 \]
Step 4: Final Answer:
The 17th term is 83.