Advertisements
Advertisements
प्रश्न
The sequence −10, −6, −2, 2, ... is ______.
विकल्प
an A.P., Reason d = −16
an A.P Reason d = 4
an A.P., Reason d = −4
is not an A.P.
Advertisements
उत्तर
The sequence −10, −6, −2, 2, ... is an A.P. Reason d = 4.
Explanation:
The given sequence is –10, –6, –2, 2, ...
Here,
First term (a) = a1 = –1
Second term = a2 = –6
Third term = a3 = –2
Common difference (d) = a2 – a1
= –6 – (–10)
= 4
a3 – a2 = –2 – (–6)
= 4
Since, a2 – a1 = a3 – a2
Thus, the given sequence is an A.P.
APPEARS IN
संबंधित प्रश्न
How many terms of the A.P. 65, 60, 55, .... be taken so that their sum is zero?
If the sum of the first n terms of an A.P. is `1/2`(3n2 +7n), then find its nth term. Hence write its 20th term.
In an AP given a3 = 15, S10 = 125, find d and a10.
If the sum of first m terms of an A.P. is the same as the sum of its first n terms, show that the sum of its first (m + n) terms is zero
Find the sum of the following arithmetic progressions:
`(x - y)/(x + y),(3x - 2y)/(x + y), (5x - 3y)/(x + y)`, .....to n terms
Find the sum of all odd numbers between 100 and 200.
Which term of the AP ` 5/6 , 1 , 1 1/6 , 1 1/3` , ................ is 3 ?
Determine the nth term of the AP whose 7th term is -1 and 16th term is 17.
The 24th term of an AP is twice its 10th term. Show that its 72nd term is 4 times its 15th term.
The sum of first three terms of an AP is 48. If the product of first and second terms exceeds 4 times the third term by 12. Find the AP.
Write an A.P. whose first term is a and common difference is d in the following.
Write an A.P. whose first term is a and common difference is d in the following.
a = –19, d = –4
The sum of the first 7 terms of an A.P. is 63 and the sum of its next 7 terms is 161. Find the 28th term of this A.P.
The first and last term of an A.P. are a and l respectively. If S is the sum of all the terms of the A.P. and the common difference is given by \[\frac{l^2 - a^2}{k - (l + a)}\] , then k =
If \[\frac{1}{x + 2}, \frac{1}{x + 3}, \frac{1}{x + 5}\] are in A.P. Then, x =
x is nth term of the given A.P. an = x find x .
Find whether 55 is a term of the A.P. 7, 10, 13,... or not. If yes, find which term is it.
The sum of the first five terms of an AP and the sum of the first seven terms of the same AP is 167. If the sum of the first ten terms of this AP is 235, find the sum of its first twenty terms.
In an A.P., the sum of first n terms is `n/2 (3n + 5)`. Find the 25th term of the A.P.
Find the sum of all 11 terms of an A.P. whose 6th term is 30.
