If the last term of A.P. 5, 3, 1, -1, …. is -41, then the A.P. consists of
46 terms
25 terms
24 terms
23 terms
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Here, a = 5, d = 3 - 5 = -2.
Let nth term be -41, so an = -41.
We know that
an = a + (n - 1)d∴ -41 = 5 + (n - 1) × (-2)⇒ -41 = 5 - 2n + 2⇒ 7 - 2n = -41⇒ 2n = 7 + 41⇒ 2n = 48⇒ n = 24.
Hence, Option 3 is the correct option.
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In an A.P., if a = 3.5, d = 0, n = 101, then an will be
0
3.5
103.5
104.5
Which term of the A.P. 21, 42, 63, 84, … is 210?
9th
10th
11th
12th
If k - 1, k + 1 and 2k + 3 are in A.P. , then the value of k is
-2
2
4
The 21st term of an A.P. whose first two terms are -3 and 4 is
17
137
143
-143