which term of the ap : 3 , 10 , 17 ,.... will be 84 more than its 13 term
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Answer:
Clearly, the given sequence is an AP with first term a=3 and common difference d=7.
Let the n
th
term is 84 more than its 13
th
term.
⇒a
n
=a
13
+84
⇒a+(n−1)d=(a+12d)+84
⇒(n−1)d=12d+84
⇒(n−1)7=12×7+84
⇒(n−1)7=7(12+12)
⇒n−1=24
⇒n=25
Therefore 25
th
term is required term.
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