Advertisements
Advertisements
प्रश्न
Find the 20th term from the last term of the A.P. 3, 8, 13, …, 253.
उत्तर
Given A.P. is
3, 8, 13, …, 253
Common difference for this A.P. is 5.
Therefore, this A.P. can be written in reverse order as
253, 248, 243, …, 13, 8, 3
For this A.P.,
a = 253
d = 248 − 253
d = −5
n = 20
a20 = a + (20 − 1) d
a20 = 253 + (19) (−5)
a20 = 253 − 95
a = 158
Therefore, 20th term from the last term is 158.
APPEARS IN
संबंधित प्रश्न
If the 3rd and the 9th terms of an AP are 4 and –8 respectively, which term of this AP is zero?
Find the sum of the following APs.
`1/15, 1/12, 1/10`, ......, to 11 terms.
In an AP given l = 28, S = 144, and there are total 9 terms. Find a.
Find the sum of the following arithmetic progressions:
41, 36, 31, ... to 12 terms
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 3 - digit natural numbers which are divisible by 13.
The first and the last terms of an A.P. are 34 and 700 respectively. If the common difference is 18, how many terms are there and what is their sum?
The 7th term of the an AP is -4 and its 13th term is -16. Find the AP.
The 4th term of an AP is 11. The sum of the 5th and 7th terms of this AP is 34. Find its common difference
How many two-digits numbers are divisible by 3?
Find the sum of the following Aps:
9, 7, 5, 3 … to 14 terms
Find the sum of all multiples of 9 lying between 300 and 700.
Find the 25th term of the AP \[- 5, \frac{- 5}{2}, 0, \frac{5}{2}, . . .\]
The nth term of an AP is given by (−4n + 15). Find the sum of first 20 terms of this AP?
Write an A.P. whose first term is a and common difference is d in the following.
Find the first term and common difference for the A.P.
127, 135, 143, 151,...
Choose the correct alternative answer for the following question .
What is the sum of the first 30 natural numbers ?
There are 37 terms in an A.P., the sum of three terms placed exactly at the middle is 225 and the sum of last three terms is 429. Write the A.P.
Find out the sum of all natural numbers between 1 and 145 which are divisible by 4.
The 19th term of an A.P. is equal to three times its sixth term. If its 9th term is 19, find the A.P.
The first and the last terms of an A.P. are 7 and 49 respectively. If sum of all its terms is 420, find its common difference.
If Sn denotes the sum of first n terms of an A.P., prove that S12 = 3(S8 − S4).
Write the sum of first n even natural numbers.
The common difference of the A.P. \[\frac{1}{2b}, \frac{1 - 6b}{2b}, \frac{1 - 12b}{2b}, . . .\] is
Find the sum of first 10 terms of the A.P.
4 + 6 + 8 + .............
Which term of the AP 3, 15, 27, 39, ...... will be 120 more than its 21st term?
A merchant borrows ₹ 1000 and agrees to repay its interest ₹ 140 with principal in 12 monthly instalments. Each instalment being less than the preceding one by ₹ 10. Find the amount of the first instalment
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?
The sum of 40 terms of the A.P. 7 + 10 + 13 + 16 + .......... is ______.