Write first four terms of the AP, when the first term a and the common difference d are given as follows: a = -1, d = \(\frac{1}{2}\)

2

(a)

Which of the following are AP's ? If they form an AP, then find the common difference d and write three more terms.. 2, \(\frac{5}{2}\) , 3, \(\frac{7}{2}\).......

2

(a)

Which of the following are APs? If they form an AP, find the common difference d and write three more terms.
a, a², a³, a⁴.......

2

(a)

In the following APs, find the missing terms in the blanks:
........., 13, ..........., 3

2

(a)

For what value of n, are the nth terms of two APs: 63, 65, 67,....... and 3, 10, 17,............ equal?

2

(a)

In an AP, the 24th term is twice the 10th term. Prove that the 36th term is twice the 16th term.

2

(a)

Which term of AP 3, 15, 27, 39,...... will be 120 more than its 21st term?

2

(a)

The 8th term of an arithmetic progression zero. Prove that its 38th term is triple of its 18th term.

2

(a)

In an AP: given a₁₂ = 37, d = 3, find a and S₁₂.

2

(a)

A contract on construction job specifies a penalty for delay of completion beyond a certain date as follows: Rs.200 for the first day, Rs.250 for the second day, Rs. 300 for the third day, etc. the penalty for each succeeding day being Rs.50 more than for the preceding day. How much money the contractor has to pay as penalty, if he has delayed the work by 30 days

2

(a)

Find the sum of first 25 terms of an AP whose nth term is 1 - 4n.

2

(a)

Find k if 10, k, -2 are in AP.

2

(a)

Interior angles of a polygon are in AP. If the smallest angle is 120^o and common difference is 5^o, find the number of sides of the polygon.

2

(a)

For the following A.P. write the first term and the common difference: \(\frac{1}{5},\frac{3}{5},\frac{5}{5},\frac{7}{5},.....\)

2

(a)

Mala saved Rs.10 in the first week of a year and then increased her weekly savings by Rs.2.00. If in the nth week, weekly savings become Rs.68, find n.

2

(a)