wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If a sequence whose nth term is given by
tn = 3.23 n2– 4.81 n + 37, then which of the following is true?


A

The above sequence is an AP only for some integers.

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

The above sequence is not an AP

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C

The above sequence is an AP for all integers.

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

The above sequence is an AP for all negative integers.

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B

The above sequence is not an AP


In an AP, the common difference is a constant, i.e,tntn1 must not contain any variables, it should be a constant number.

tntn1 = (3.23n2 – 4.81n + 37) – (3.23(n1)2 – 4.81(n-1) + 37)

Observe that the coefficient of n2 will be zero because it is multiplied with 3.23 in both tn and tn1. The -4.81n in the first braces and the -4.81n from the2nd braces will cancel off. However we shall still be left over with a non-zero coefficient of n from the 2nd braces from the expansion of (n1)2, i.e. the common difference depends on ‘n’ and is not constant. Hence this sequence is not an AP.


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
General Form of an AP
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon