Grade 12th pass10 grade maths
16. Determine the A.P. whose third term is 16 and the 7th term exceeds the 5th term by 12.
16. Determine the A.P. whose third term is 16 and the 7th term exceeds the 5th term by 12.
1 Answer
Pawan Prajapati
Given,
Third term, a3 = 16
As we know,
a +(3−1)d = 16
a+2d = 16 ………………………………………. (i)
It is given that, 7th term exceeds the 5th term by 12.
a7 − a5 = 12
[a+(7−1)d]−[a +(5−1)d]= 12
(a+6d)−(a+4d) = 12
2d = 12
d = 6
From equation (i), we get,
a+2(6) = 16
a+12 = 16
a = 4
Therefore, A.P. will be4, 10, 16, 22, …
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