Advertisements
Advertisements
Question
Write an A.P. whose first term is a and common difference is d in the following.
a = –1.25, d = 3
Advertisements
Solution
a = –1.25, d = 3
First term = a = –1.25
Second term
= –1.25 + 3
= 1.75
Third term
= 1.75 + 3
= 4.75
∴ The A.P. is –1.25, 1.75, 4.75 and so on ...
APPEARS IN
RELATED QUESTIONS
Find the sum of the following APs:
–37, –33, –29, ... to 12 terms.
How many terms of the A.P. 63, 60, 57, ... must be taken so that their sum is 693?
Find the sum 3 + 11 + 19 + ... + 803
The 8th term of an AP is zero. Prove that its 38th term is triple its 18th term.
Divide 24 in three parts such that they are in AP and their product is 440.
If the sum of first n terms is (3n2 + 5n), find its common difference.
If the ratio of sum of the first m and n terms of an AP is m2 : n2, show that the ratio of its mth and nth terms is (2m − 1) : (2n − 1) ?
Find the first term and common difference for the A.P.
127, 135, 143, 151,...
Find the first term and common difference for the A.P.
`1/4,3/4,5/4,7/4,...`
Divide 207 in three parts, such that all parts are in A.P. and product of two smaller parts will be 4623.
The sum of the first n terms of an A.P. is 3n2 + 6n. Find the nth term of this A.P.
If the sum of n terms of an A.P. be 3n2 + n and its common difference is 6, then its first term is ______.
Q.3
Q.16
Which term of the AP 3, 15, 27, 39, ...... will be 120 more than its 21st term?
How many terms of the A.P. 25, 22, 19, … are needed to give the sum 116 ? Also find the last term.
First four terms of the sequence an = 2n + 3 are ______.
Find the sum of those integers from 1 to 500 which are multiples of 2 as well as of 5.
The students of a school decided to beautify the school on the Annual Day by fixing colourful flags on the straight passage of the school. They have 27 flags to be fixed at intervals of every 2 m. The flags are stored at the position of the middle most flag. Ruchi was given the responsibility of placing the flags. Ruchi kept her books where the flags were stored. She could carry only one flag at a time. How much distance did she cover in completing this job and returning back to collect her books? What is the maximum distance she travelled carrying a flag?
Rohan repays his total loan of ₹ 1,18,000 by paying every month starting with the first installment of ₹ 1,000. If he increases the installment by ₹ 100 every month, what amount will be paid by him in the 30th installment? What amount of loan has he paid after 30th installment?
