If the sum of the first 14 terms of an AP is 1050 and its first term is 10, find the 20th term.

How many terms of the AP: 24, 21, 18, ... must be taken so that their sum is 78?

Find the sum of first 24 terms of the list of numbers whose nth term is given by a_n = 3 + 2n.

What is the greatest possible length which can be used to measure exactly the lengths 7 m; 3 m 85 cm ; 12 m 95 cm?

Find the greatest number that will divide 43,91 and 183 so as to leave the sarne remainder in each case.

What will be the least number which when doubted will be exactly divisible bl 12, 18, 21 and 30?

lf the exams are over by Monday. The results will be pubtishe d 29 days after exams What day the results will be Published

Let the sequence defined by a₁ = 3 \(a_{n}=3 a_{n-1}+1 \text { for all } n>1\) Find the first three terms of the sequence.

\(\text { If } a_{n}=(-1)^{n} \text { n find } a_{3}, a_{5} \text { and } a_{8}\)

If a_n = (n - 1) (2- n) (3 + n) find a₁,a₂,a₃.

For what value of n the n^th term of the A.P 69, 68, 67,... and 1, 7, 13, 19 are the same?

If the 8^th term of an A.P is 31 and the 15^th term is 16 more than the 11^th term, find the A.P.

Which term of the A.p. 5, 15, 25,... will be 130 more than its 31^th term?

If the first term of an A.p. is 17 and last term is 350, common difference is 9, how many terms are there in the A.p.? What is their sum?

Find the sum of all three digit numbers which are divisibleby 7