which term of the AP: 3, 8, 13, 18, ... is 78
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Step-by-step explanation:
Given A.P : 3,8,13,18,....,78
First term (a) = 3
common difference (d)= a3−a2
= 8-3
= 5
Let nth term=78
⟹a+(n−1)d=78
⟹3+(n−1)×5=78
⟹(n−1)×5=78−3
⟹(n−1)×5=75
⟹n−1= 75 / 5
⟹n−1=15
⟹n=15+1
⟹n=16
Therefore,
16th term in given A.P is 78
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