Find the 4th term from the end of the AP -11, -8, -5, .........., 49. I got answer as 40 verify that
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Find the 4th term from the end of the AP -11, -8, -5, .........., 49. I got answer as 40 verify that
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Verified answer
Given AP is -11,-8,-5,....49.
Here, a = -11, d = -8 - (-11) = 3, tn = 49.
We know that tn = a + (n - 1) * d
= > 49 = -11 + (n - 1) * 3
= > 49 = -11 + 3n - 3
= > 49 = 3n - 14
= > 49 + 14 = 3n
= > 63 = 3n
= > n = 21.
We know that nth term from the end = l - (n - 1) * d
So,
4th term from the end:
= > 49 - (4 - 1) * 3
= > 49 - 3 * 3
= > 49 - 9
= > 40.
Hope this helps!