Advertisements
Advertisements
प्रश्न
Choose the correct alternative answer for the following question .
The sequence –10, –6, –2, 2,...
विकल्प
is an A.P.,Reason d = -16
is an A.P Reason d = 4
is an A.P.,Reason d = -4
is not an A.P.
उत्तर
The given sequence is –10, –6, –2, 2,...
Here,
First term (a) = a1 = –10
Second term = a2 = –6
Third term = a3 = –2
Common difference (d) = a2 – a1 = –6 – (–10) = 4
= a3 – a2 = –2 – (–6) = 4
Since, a2 – a1 = a3 – a2
Thus, the given sequence is an A.P.
संबंधित प्रश्न
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.
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.
In a school, students thought of planting trees in and around the school to reduce air pollution. It was decided that the number of trees, that each section of each class will plant will be the same as the class, in which they are studying, e.g., a section of class I will plant 1 tree, a section of class II will plant 2 trees, and so on till class XII. There are three sections of each class. How many trees will be planted by the students?
200 logs are stacked in the following manner: 20 logs in the bottom row, 19 in the next row, 18 in the row next to it and so on. In how many rows are the 200 logs placed, and how many logs are in the top row?
Find the sum of all integers between 84 and 719, which are multiples of 5.
Which term of the AP ` 5/6 , 1 , 1 1/6 , 1 1/3` , ................ is 3 ?
The 24th term of an AP is twice its 10th term. Show that its 72nd term is 4 times its 15th term.
Divide 207 in three parts, such that all parts are in A.P. and product of two smaller parts will be 4623.
For what value of n, the nth terms of the arithmetic progressions 63, 65, 67, ... and 3, 10, 17, ... equal?
Find the sum (−5) + (−8)+ (−11) + ... + (−230) .
In an A.P., the first term is 22, nth term is −11 and the sum to first n terms is 66. Find n and d, the common difference
Let Sn denote the sum of n terms of an A.P. whose first term is a. If the common difference d is given by d = Sn − kSn−1 + Sn−2, then k =
Let the four terms of the AP be a − 3d, a − d, a + d and a + 3d. find A.P.
A manufacturer of TV sets produces 600 units in the third year and 700 units in the 7th year. Assuming that the production increases uniformly by a fixed number every year, find:
- the production in the first year.
- the production in the 10th year.
- the total production in 7 years.
Which term of the AP 3, 15, 27, 39, ...... will be 120 more than its 21st term?
If ₹ 3900 will have to be repaid in 12 monthly instalments such that each instalment being more than the preceding one by ₹ 10, then find the amount of the first and last instalment
The sum of the first 2n terms of the AP: 2, 5, 8, …. is equal to sum of the first n terms of the AP: 57, 59, 61, … then n is equal to ______.
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 those integers from 1 to 500 which are multiples of 2 as well as of 5.
Find the sum of first 20 terms of an A.P. whose nth term is given as an = 5 – 2n.
