Advertisements
Advertisements
Question
For an A.P., If t1 = 1 and tn = 149 then find Sn.
Activitry :- Here t1= 1, tn = 149, Sn = ?
Sn = `"n"/2 (square + square)`
= `"n"/2 xx square`
= `square` n, where n = 75
Solution
Here, t1= 1, tn = 149, Sn = ?
Sn = `"n"/2 ("t"_1 + "t"_"n")`
= `"n"/2 (1 + 149)`
= `"n"/2 xx 150`
= 75 n, where n = 75
APPEARS IN
RELATED QUESTIONS
An A.P. consists of 50 terms of which 3rd term is 12 and the last term is 106. Find the 29th term of the A.P.
Ramkali saved Rs 5 in the first week of a year and then increased her weekly saving by Rs 1.75. If in the nth week, her week, her weekly savings become Rs 20.75, find n.
Show that a1, a2,..., an... form an AP where an is defined as below:
an = 9 − 5n
Also, find the sum of the first 15 terms.
Find the sum of the first 25 terms of an A.P. whose nth term is given by an = 7 − 3n
Find the sum 2 + 4 + 6 ... + 200
Find the sum of the first 15 terms of each of the following sequences having the nth term as
yn = 9 − 5n
Find the sum of the first 22 terms of the A.P. : 8, 3, –2, ………
Find the middle term of the AP 6, 13, 20, …., 216.
What is the 5th term form the end of the AP 2, 7, 12, …., 47?
Find the sum of first n terms of an AP whose nth term is (5 - 6n). Hence, find the sum of its first 20 terms.
If the 9th term of an A.P. is zero then show that the 29th term is twice the 19th term?
Choose the correct alternative answer for the following question.
For an given A.P. a = 3.5, d = 0, n = 101, then tn = ....
Divide 207 in three parts, such that all parts are in A.P. and product of two smaller parts will be 4623.
Write the sum of first n odd natural numbers.
Write the sum of first n even natural numbers.
If the sum of n terms of an A.P. be 3n2 + n and its common difference is 6, then its first term is ______.
Shubhankar invested in a national savings certificate scheme. In the first year he invested ₹ 500, in the second year ₹ 700, in the third year ₹ 900 and so on. Find the total amount that he invested in 12 years
An AP consists of 37 terms. The sum of the three middle most terms is 225 and the sum of the last three is 429. Find the AP.
Find the sum of all even numbers from 1 to 250.
The nth term of an A.P. is 6n + 4. The sum of its first 2 terms is ______.