Advertisements
Advertisements
Question
Find four numbers in AP whose sum is 8 and the sum of whose squares is 216.
Advertisements
Solution
(4, 6, 8, 10) or (10, 8, 6, 4)
APPEARS IN
RELATED QUESTIONS
Find the 20th term from the last term of the A.P. 3, 8, 13, …, 253.
In an AP, given a = 7, a13 = 35, find d and S13.
The first and last terms of an AP are 17 and 350, respectively. If the common difference is 9, how many terms are there, and what is their sum?
A contract on a construction job specifies a penalty for delay of completion beyond a certain date as follows: Rs. 200 for the first day, Rs. 250 for the second day, Rs. 300 for the third day, etc., the penalty for each succeeding day being Rs. 50 more than for the preceding day. How much money does the contractor have to pay as a penalty if he has delayed the work by 30 days.
A sum of Rs 700 is to be used to give seven cash prizes to students of a school for their overall academic performance. If each prize is Rs 20 less than its preceding prize, find the value of each of the prizes.
Find the sum of first 12 natural numbers each of which is a multiple of 7.
Find the 8th term from the end of the AP 7, 10, 13, ……, 184.
Find the value of x for which (x + 2), 2x, ()2x + 3) are three consecutive terms of an AP.
If the numbers (2n – 1), (3n+2) and (6n -1) are in AP, find the value of n and the numbers
Divide 207 in three parts, such that all parts are in A.P. and product of two smaller parts will be 4623.
Find the sum: 1 + 3 + 5 + 7 + ... + 199 .
The sum of first seven terms of an A.P. is 182. If its 4th and the 17th terms are in the ratio 1 : 5, find the A.P.
The sum of the first n terms of an A.P. is 3n2 + 6n. Find the nth term of this A.P.
Q.1
Q.16
The sum of the first three terms of an Arithmetic Progression (A.P.) is 42 and the product of the first and third term is 52. Find the first term and the common difference.
Find the sum of those integers from 1 to 500 which are multiples of 2 or 5.
[Hint (iii) : These numbers will be : multiples of 2 + multiples of 5 – multiples of 2 as well as of 5]
Read the following passage:
|
India is competitive manufacturing location due to the low cost of manpower and strong technical and engineering capabilities contributing to higher quality production runs. The production of TV sets in a factory increases uniformly by a fixed number every year. It produced 16000 sets in 6th year and 22600 in 9th year. |
- In which year, the production is 29,200 sets?
- Find the production in the 8th year.
OR
Find the production in first 3 years. - Find the difference of the production in 7th year and 4th year.
The sum of A.P. 4, 7, 10, 13, ........ upto 20 terms is ______.
