For what value of k, are the numbers x, 2x + k and 3x + 6 three consecutive terms of an A .P.
x, 2x + k,3x + 6 are in A .P. if
(2x + k) – x = (3x + 6) – (2x + k)
⇒ 2x + k – x = 3x + 6 – 2x – k
⇒ x + k = x + 6 – k
⇒ 2k = 6
⇒ k = 3
x, 2x + k,3x + 6 are in A .P. if
(2x + k) – x = (3x + 6) – (2x + k)
⇒ 2x + k – x = 3x + 6 – 2x – k
⇒ x + k = x + 6 – k
⇒ 2k = 6
⇒ k = 3
Write first four terms of the AP, when the first term a and the common difference d are given as follows:
a = – 1.25, d = – 0.25
For the following APs, write the first term and the common difference
3, 1, – 1, – 3, . . .
For the following APs, write the first term and the common difference
– 5, – 1, 3, 7, . . .
For the following APs, write the first term and the common difference
0.6, 1.7, 2.8, 3.9, . . .
Which of the following are APs ? If they form an AP, find the common difference d and write three more terms.
– 1.2, – 3.2, – 5.2, – 7.2, . . .
Which of the following are APs ? If they form an AP, find the common difference d and write three more terms.
–10, –6, –2, 2, ....
Mock Test Series