Question

# If Tn=78, where Tn denotes the nth term the following AP: 3, 8, 13, 18, . . . , then n = ___

Solution

## Here, first term, a=3 Common difference, d=8−3=13−8=5 an=78 To find nth term of arithmetic progression,  an=a+(n−1)d 78=3+(n−1)5   ⇒78=3+(n−1)5 ⇒755=n−1 ⇒15=n−1 ⇒n=16 It means 16th term of the given AP is equal to 78. Mathematics

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