In the following AB, find the missim 13 S. (iv) - 4 4. Which term of the AP:3.8. 13. 18. 5. Find the number of terms in each of the
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Answer:
For the following A.P : 3,8,13,18,------, 78
First term (t1) = a = 3,common difference (d) = 8 - 3 = 5 and last term (tn) = 78
The general term of A.P is
tn = a + (n - 1) d
78 = 3 + (n - 1)5
78 = 3 + 5n - 5
78 = - 2 + 5n
78 + 2 = 5n
80 = 5n
80/5 = n
16 = n
n= 16
16th term of A.P : 3,8,13,18,is 78.
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Answer:
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=80orn=16.
The 16th term is 78.
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