This PYQ is from

UGC-NET-Paper1

Maths

UGC-NET-Paper1 PYQs

Year-wise PYQs

Section-wise PYQs

Read the Question carefully and choose the correct option.

The first term in an arithmetic series of 100 terms is 7. If the last term is 205, what is the 71th term of the series?

1.157
2.151
3.147
4.161

100 पदों की एक अंकगणितीय श्रृंखला में पहला पद 7 है। यदि अंतिम पद 205 है, तो श्रृंखला का 71वाँ पद क्या है?

1.157
2.151
3.147
4.161

This Question came in

UGC-NET-History-06-December-2023-Shift-2-Q25

UGC-NET Paper 1 Full Course

To-the-point Video Lectures

Topic-wise PYQs

24x7 Doubt Solving

Detailed Explanation & Answer

Given,
First Term = 7
N = 100
Nth Term = 205

Getting Common Difference (d) from the formula
Nth Term = First Term + (n - 1) d
205 = 7 + (100 - 1) d
99d = 198
d = 2

Getting 71th Term (where n = 71)
71st term = 7 + (71 - 1) x 2
71st term = 147

दिया गया,
प्रथम पद = 7
n = 100
nवाँ पद = 205

सूत्र से सामान्य अंतर (d) प्राप्त करना
nवाँ पद = प्रथम पद + (n - 1) d
205 = 7 + (100 - 1) d
99d = 198
d = 2

71वाँ पद प्राप्त करना (जहाँ n = 71)
71वाँ पद = 7 + (71 - 1) x 2
71वां पद = 147

The Correct Answer is 3

Free PYQ Test Series

Join Telegram for Free PYQ Test Series of UGC-NET-Paper1

Join Telegram