Is -150 a term of 11, 8, 5, 2, .........?

In above sequence, 8 - 11 = -3 and 5 - 8 = -3. Hence, above sequence is an A.P. with common difference = -3. Let -150 be n th term of the A.P. ∴ a n = -150 ⇒ a + (n - 1)d = -150 ⇒ 11 + (-3)(n - 1) = -150 ⇒ 11 - 3n + 3 = -150 ⇒ 14 - 3n = -150 ⇒ -3n = -164 ⇒ n = . Since, no. of terms cannot be in fraction. Hence, -150 is not a term of 11, 8, 5, 2, .........

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Mathematics

Is -150 a term of 11, 8, 5, 2, ………?

AP

Related Questions

The n^th term of sequence is 8 - 5n. Show that the sequence is an A.P.

Find the general term (n^th term) and 23^rd term of the sequence, 3, 1, -1, -3, ………

How many multiples of 4 lie between 10 and 250?

The sum of the 4^th term and the 8^th term of an A.P. is 24 and the sum of the 6^th and 10^th term is 44. Find the first three terms of the A.P.

Mathematics

Is -150 a term of 11, 8, 5, 2, ………?

AP

Related Questions

The nth term of sequence is 8 - 5n. Show that the sequence is an A.P.

Find the general term (nth term) and 23rd term of the sequence, 3, 1, -1, -3, ………

How many multiples of 4 lie between 10 and 250?

The sum of the 4th term and the 8th term of an A.P. is 24 and the sum of the 6th and 10th term is 44. Find the first three terms of the A.P.

The n^th term of sequence is 8 - 5n. Show that the sequence is an A.P.

Find the general term (n^th term) and 23^rd term of the sequence, 3, 1, -1, -3, ………

The sum of the 4^th term and the 8^th term of an A.P. is 24 and the sum of the 6^th and 10^th term is 44. Find the first three terms of the A.P.