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Q.

Find which of the terms in Arithmetic progression (A.P) 20, 30, 40, …. is 100 using proper formula.


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a

11

b

12

c

13

d

9 

answer is D.

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Detailed Solution

Given arithmetic progression (AP) is 20, 30, 40, ……... 100.
Here,
Nth term, Tn=100
First term, a=20
Common difference, d = 10
Thus, nth term of AP is,
Tn=a+(n-1)d
⟹100=20+(n-1)10
⟹100=20+10n-10
⟹100=10+10n
⟹100-10=10n
⟹90=10n
⟹n=9010
⟹n=9
So, the sequence number will be 100 for the 9th term.
Hence, the correct option is 4.
 
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Find which of the terms in Arithmetic progression (A.P) 20, 30, 40, …. is 100 using proper formula.