Which term of the A.P. 6, 13, 20, 27 . . . . is 98 more than its 24th term?
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Answered by
10
Answer:
The 24.th trm of the se.quence
6,13,20, 27...
6,13,20, 27...t24 = 6 + (24 – 1) 7
6,13,20, 27...t24 = 6 + (24 – 1) 7= 6 + 23 × 7 = 6 +161 =167
le.t the req.uired nth trm = 265
= 265 265 = 6 + ( n –1) 7
= 265 265 = 6 + ( n –1) 7 (n–1) 7 = 265 – 6 = 259
= 265 265 = 6 + ( n –1) 7 (n–1) 7 = 265 – 6 = 259 n – 1 =259/7= 37
7= 37n=38
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Answered by
3
Answer:
Given AP is 6,13,20,27...
First term a = 6
Common difference d = t2 - t1 = 13 - 6 = 7
nth term = tn = a + (n-1) d
Let, pth term = t24 + 98
a + (p-1) 7 = a + (24-1) 7 + 98
(p-1) 7 = 23 × 7 + 98
(p-1) 7 = 7(23+14)
p-1 = 37
p = 38
Required term = 38
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