Advertisements
Advertisements
प्रश्न
Following are APs or not? If they form an A.P. find the common difference d and write three more terms:
`2, 5/2, 3, 7/2 ....`
उत्तर
`2, 5/2, 3, 7/2 ....`
Here,
a2 - a1 = `5/2 - 2 = 1/2`
a3 - a2 = `3 - 5/2 = 1/2`
a4 - a3 = `7/2 - 3 = 1/2`
⇒ an+1 - an is same every time.
Therefore, d = `1/2` and the given numbers are in A.P.
Three more terms are
a5 = `7/2 + 1/2 = 4`
a6 = `4 + 1/2 = 9/2`
a7 = `9/2 + 1/2 = 5`
APPEARS IN
संबंधित प्रश्न
The first three terms of an AP respectively are 3y – 1, 3y + 5 and 5y + 1. Then y equals:
(A) –3
(B) 4
(C) 5
(D) 2
Following are APs or not? If they form an A.P. find the common difference d and write three more terms:
a, 2a, 3a, 4a …
Write the next two terms of A.P. whose first term is 3 and the common difference is 4.
Find n if the nth term of the following A.P. is 68
5, 8, 11, 14, ..........
Write the arithmetic progressions write the first term a and common difference d is as follows:
a = 4,d = -3
Which of the following sequences are arithmetic progressions? For those which are arithmetic progressions, find out the common difference.
12, 2, −8, −18, ...
Which of the following sequences are arithmetic progressions? For those which are arithmetic progressions, find out the common difference.
p, p + 90, p + 180 p + 270, ... where p = (999)999
Find Is 68 a term of the A.P. 7, 10, 13, ...?
Two arithmetic progressions have the same common difference. The difference between their 100th terms is 100, what is the difference between their l000th terms?
is the Consider the expression an = 1 + n + n2, AP .a
If the 5th term of an A.P. is 31 and 25th term is 140 more than the 5th term, find the A.P.
Which term of following A.P. is −940.
50, 40, 30, 20 ........
Activity :- Here a = `square`, d = `square`, tn = −940
According to formula, tn = a + (n − 1)d
−940 = `square`
n = `square`
If a, b, c are in A.P. then `(a-b)/(b-c)` is equal to ______.
Verify that the following is an AP, and then write its next three terms.
`0, 1/4, 1/2, 3/4, ...`
Split 207 into three parts such that these are in AP and the product of the two smaller parts is 4623.
Which of the following form an AP? Justify your answer.
2, 22, 23, 24,...
Write second and third term of an A.P. whose first term is 6 and common difference is – 3.
For arithmetic progression, first term is – 8 and last term is 55. If sum of all these terms is 235, find the number of terms and common difference.
The first term of an A.P. is 22, the last term is –6 and the sum of all the terms is 64. Find the number of terms of the A.P. Also, find the common difference.
