Question

e
1
44) Which term of the arithmetic progression 1, 12, 23,
34, ...., will be 99 more than 45.
A. 37
-B. 47
C. 54
D. 14​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

C.) 54 is the right answer

Step-by-step explanation:

Here, a=1 and d=12-1=11

45th term = a+(45-1)d

=1+44×11 = 1+484=485

Let the nth term be 99 more than 45th term.

Then, According to Question,

a+(n-1)d = 45th term + 99

=> 1+(n-1)×11 = 485+99

=> 1+11n-11 = 584

=> 11n-10 = 584

=> 11n = 594

=> n = 54

Thus, 54 th term of the A.P. is 99 more than the 45th term.

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