Question:
Which term of the series \(7, 12, 17, 22, \dots\) is 152?
श्रृंखला \(7, 12, 17, 22, \dots\) का कौन सा पद 152 है?
Options:
- 27th
- 28th
- 29th
- 30th
- 27वाँ
- 28वाँ
- 29वाँ
- 30वाँ
Correct Answer: d)
Explanation:
First term \(a = 7\), common difference \(d = 5\).
\(T_n = a + (n – 1)d = 152\)
\(7 + 5(n – 1) = 152 \implies 5(n – 1) = 145 \implies n – 1 = 29 \implies n = 30\).
समानांतर श्रेणी का सूत्र: \(T_n = a + (n – 1)d\)
\(7 + 5(n – 1) = 152 \implies 5(n – 1) = 145 \implies n = 30\)वाँ पद।