Advertisements
Advertisements
Question
Find the value of x for which (x + 2), 2x, ()2x + 3) are three consecutive terms of an AP.
Solution
Since (x + 2), 2x and (2x +3) are in AP, we have
2x - (x+2) = (2x+3) -2x
⇒ x-2 = 3
⇒ x = 5
∴ x = 5
APPEARS IN
RELATED QUESTIONS
In an AP given a = 3, n = 8, Sn = 192, find d.
If the nth term of the A.P. 9, 7, 5, ... is same as the nth term of the A.P. 15, 12, 9, ... find n.
Find the sum of the following arithmetic progressions
`(x - y)^2,(x^2 + y^2), (x + y)^2,.... to n term`
Find the sum of the following arithmetic progressions:
`(x - y)/(x + y),(3x - 2y)/(x + y), (5x - 3y)/(x + y)`, .....to n terms
How many three-digit numbers are divisible by 9?
The fourth term of an A.P. is 11. The sum of the fifth and seventh terms of the A.P. is 34. Find its common difference.
In an A.P. 19th term is 52 and 38th term is 128, find sum of first 56 terms.
Find the sum \[7 + 10\frac{1}{2} + 14 + . . . + 84\]
Write the nth term of the \[A . P . \frac{1}{m}, \frac{1 + m}{m}, \frac{1 + 2m}{m}, . . . .\]
Q.11