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Which term of the AP: 3, …

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Which term of the AP: 3, 8, 13, 18 … is 78?

Posted by Ak18 Ak18 5 years, 5 months ago

CBSE > Class 10 > Mathematics

3 answers

Dinesh Kumar Yadav 5 years, 5 months ago

A=3 d=5 Tn=78 Formula :- a + (n-1)d Putting value, 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

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Hippie Maari 5 years, 5 months ago

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Yogita Ingle 5 years, 5 months ago

The given sequence is 3, 8, 13, 18, ....78.
'a' = 3, 'd' = 5, last term = 78, 'n' = ?

t_n=a+(n−1)d

⟹78=3+(n−1)5

⟹78=3+5n−5

⟹78=5n−2

⟹5n=80

n=16.

The 16th term is 78.

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