Advertisements
Advertisements
Question
Find the sum of the following Aps:
i) 2, 7, 12, 17, ……. to 19 terms .
Solution
The given AP is 2, 7, 12, 17,………
Here, a= 2 and d = 7 - 2 = 5
Using the formula . `s_n = n/2 [ 2a + (n-1) d] ,`we have
`s_19 = 19/2 [ 2xx2 +(19-1) xx5]`
`= 19/2 xx (4+ 90)`
`= 19/2 xx 94`
= 893
APPEARS IN
RELATED QUESTIONS
In an AP given d = 5, S9 = 75, find a and a9.
The first term of an A.P. is 5, the last term is 45 and the sum is 400. Find the number of terms and the common difference.
Show that the sum of all odd integers between 1 and 1000 which are divisible by 3 is 83667.
Find the sum 3 + 11 + 19 + ... + 803
How many terms of the AP 21, 18, 15, … must be added to get the sum 0?
An article can be bought by paying Rs. 28,000 at once or by making 12 monthly installments. If the first installment paid is Rs. 3,000 and every other installment is Rs. 100 less than the previous one, find:
- amount of installments paid in the 9th month.
- total amount paid in the installment scheme.
Obtain the sum of the first 56 terms of an A.P. whose 18th and 39th terms are 52 and 148 respectively.
Obtain the sum of the first 56 terms of an A.P. whose 18th and 39th terms are 52 and 148 respectively.
How many terms of the A.P. 27, 24, 21, …, should be taken so that their sum is zero?
How many terms of the A.P. 25, 22, 19, … are needed to give the sum 116 ? Also find the last term.