if the last term of AP is 8 , 15,22..is 218
then which term is 218.
Answers
Answered by
3
Answer:
a = 8
d = 15-8 = 7
an = 218
an = a + (n-1)d
218 = 8 + (n-1)7
218 -8 = 7n - 7
210+7 = 7n
217 = 7n
n = 217÷7
n = 31
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Answered by
1
Answer:
218 is 31st term of the given A.P..
Step-by-step explanation:
The given A.P. is 8 , 15 , 22 ...
So, its common difference is d = 15-8 = 7
Also, a = 8 and aₙ=218
w.k.t., aₙ = a+(n-1)d
⇒ 218 = 8 + (n-1)7
or 218-8 = (n-1)7
or 210 = (n-1)7
or n-1 = 210/7 = 30
or n = 30+1
⇒ n=31
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