Advertisements
Advertisements
Question
Write an A.P. whose first term is a and the common difference is d in the following.
a = 10, d = 5
Advertisements
Solution
a = 10, d = 5
First term = a = 10
Second term = a + d = 10 + 5 = 15
Third term = a + 2d = 10 + 10 = 20
and so on...
Hence, the required A.P. is 10, 15, 20,...
RELATED QUESTIONS
If the sum of first 7 terms of an A.P. is 49 and that of its first 17 terms is 289, find the sum of first n terms of the A.P.
How many terms of the series 54, 51, 48, …. be taken so that their sum is 513 ? Explain the double answer
Find the sum of the following APs:
`1/15, 1/12, 1/10`, ... to 11 terms.
Find the sum of the following arithmetic progressions:
`(x - y)/(x + y), (3x - 2y)/(x + y), (5x - 3y)/(x + y),...` to n terms
In an A.P., the sum of first n terms is `(3n^2)/2 + 13/2 n`. Find its 25th term.
If the 8th term of an A.P. is 37 and the 15th term is 15 more than the 12th term, find the A.P. Also, find the sum of first 20 terms of A.P.
Which term of AP 72, 68, 64, 60, ... is 0?
Which term of the AP `5/6, 1, 1 1/6, 1 1/3,` ... is 3?
How many three-digit numbers are divisible by 9?
The sum of three consecutive terms of an AP is 21 and the sum of the squares of these terms is 165. Find these terms.
Find the sum of all natural numbers between 200 and 400 which are divisible by 7.
Rs 1000 is invested at 10 percent simple interest. Check at the end of every year if the total interest amount is in A.P. If this is an A.P. then find interest amount after 20 years. For this complete the following activity.
Write 5th term from the end of the A.P. 3, 5, 7, 9, ..., 201.
If 18, a, b, −3 are in A.P., the a + b =
If a = 6 and d = 10, then find S10.
In an A.P., if Sn = 3n2 + 5n and ak = 164, find the value of k.
Kanika was given her pocket money on Jan 1st, 2008. She puts Rs 1 on Day 1, Rs 2 on Day 2, Rs 3 on Day 3, and continued doing so till the end of the month, from this money into her piggy bank. She also spent Rs 204 of her pocket money, and found that at the end of the month she still had Rs 100 with her. How much was her pocket money for the month?
If the first term of an A.P. is 5, the last term is 15 and the sum of first n terms is 30, then find the value of n.
In an A.P., the sum of first n terms is `n/2 (3n + 5)`. Find the 25th term of the A.P.
