Advertisements
Advertisements
प्रश्न
Choose the correct alternative answer for the following question .
First four terms of an A.P. are ....., whose first term is –2 and common difference is –2.
पर्याय
-2,0,2,4
-2,4 ,-8,16
-2, -4,-6,-8
-2, -4 ,-8,-16
उत्तर
It is given that,
First term (a) = –2
Common difference (d) = –2
Second term = a + d = –2 + (–2) = –4
Third term = a + 2d = –2 + 2(–2) = –6
Fourth term = a + 3d = –2 + 3(–2) = –8
Thus, first four terms of the A.P. are –2, –4, –6, –8
APPEARS IN
संबंधित प्रश्न
How many terms of the AP. 9, 17, 25 … must be taken to give a sum of 636?
Find the sum of first 15 multiples of 8.
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?
Find how many integers between 200 and 500 are divisible by 8.
Find the sum of the following arithmetic progressions:
`(x - y)/(x + y),(3x - 2y)/(x + y), (5x - 3y)/(x + y)`, .....to n terms
Find the sum of the first 51 terms of the A.P: whose second term is 2 and the fourth term is 8.
Find the sum of the first 22 terms of the A.P. : 8, 3, –2, ………
If 10 times the 10th term of an AP is equal to 15 times the 15th term, show that its 25th term is zero.
Determine k so that (3k -2), (4k – 6) and (k +2) are three consecutive terms of an AP.
What is the sum of first n terms of the AP a, 3a, 5a, …..
What is the 5th term form the end of the AP 2, 7, 12, …., 47?
If (2p +1), 13, (5p -3) are in AP, find the value of p.
Find the first term and common difference for the A.P.
`1/4,3/4,5/4,7/4,...`
There are 37 terms in an A.P., the sum of three terms placed exactly at the middle is 225 and the sum of last three terms is 429. Write the A.P.
Q.14
Find the value of x, when in the A.P. given below 2 + 6 + 10 + ... + x = 1800.
The first term of an AP of consecutive integers is p2 + 1. The sum of 2p + 1 terms of this AP is ______.
In the month of April to June 2022, the exports of passenger cars from India increased by 26% in the corresponding quarter of 2021-22, as per a report. A car manufacturing company planned to produce 1800 cars in 4th year and 2600 cars in 8th year. Assuming that the production increases uniformly by a fixed number every year.![]() |
Based on the above information answer the following questions.
- Find the production in the 1st year
- Find the production in the 12th year.
- Find the total production in first 10 years.
[OR]
In how many years will the total production reach 31200 cars?
If the first term of an A.P. is p, second term is q and last term is r, then show that sum of all terms is `(q + r - 2p) xx ((p + r))/(2(q - p))`.