The 6th term of an ap is 22 and the 9th term is 49, find the 88th term
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BrainlyQueenRoZi
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4th term = a + 3d
8th term = a + 7d
sum of the 4th term and 8th term = a + 3d + a + 7d = 24.
==> 2a + 10d = 24
Take 2 common from the equation......
a + 5d = 12................(1)
Sum of 6th term and 10th term = 44
==> a + 5d + a + 9d = 44
2a + 14d = 44
Take 2 common from equation....
a + 7d = 22.................(2)
By Elimination Method:-
a + 5d = 12
a + 7d = 22
--------------------
2d = 10
d = 5
Substitute d = 5 in eq (1)
a +5d = 12
a + 5(5) = 12
a = 12 - 25
a = -13
✓ The 1st term 3 term are -13, -13 + 5, -13 + 10
✓ -13, -8, -3.
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