Advertisements
Advertisements
प्रश्न
Write an A.P. whose first term is a and common difference is d in the following.
a = –19, d = –4
Advertisements
उत्तर
a = –19, d = –4
t1 = a = –19
t2 = a + d = –19 + (–4) = –19 – 4 = –23
t3 = a + 2d = –19 + 2(–4) = –19 – 8 = –27
t4 = a + 3d = –19 + 3(–4) = –19 – 12 = –31
∴ A.P. is –19, –23, –27, –31, .......
APPEARS IN
संबंधित प्रश्न
The first and the last terms of an AP are 7 and 49 respectively. If sum of all its terms is 420, find its common difference.
Find four numbers in A.P. whose sum is 20 and the sum of whose squares is 120
A contract on a 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 does the contractor have to pay as a penalty if he has delayed the work by 30 days?
Find the sum of the following arithmetic progressions:
1, 3, 5, 7, ... to 12 terms
Which term of the A.P. `20, 19 1/4, 18 1/2, 17 3/4,` ... is the first negative term?
The 7th term of an AP is –4 and its 13th term is –16. Find the AP.
How many numbers are there between 101 and 999, which are divisible by both 2 and 5?
The Sum of first five multiples of 3 is ______.
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.
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) .
The sum of first n terms of an A.P is 5n2 + 3n. If its mth term is 168, find the value of m. Also, find the 20th term of this A.P.
The first term of an A.P. is p and its common difference is q. Find its 10th term.
Write the nth term of the \[A.P. \frac{1}{m}, \frac{1 + m}{m}, \frac{1 + 2m}{m}, . . . .\]
Q.11
If the second term and the fourth term of an A.P. are 12 and 20 respectively, then find the sum of first 25 terms:
The sum of all odd integers between 2 and 100 divisible by 3 is ______.
Find the middle term of the AP. 95, 86, 77, ........, – 247.
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))`.
