Advertisements
Advertisements
प्रश्न
If (2p +1), 13, (5p -3) are in AP, find the value of p.
Advertisements
उत्तर
Let (2p +1),13,(5p -3) be three consecutive terms of an AP.
Then 13-(2p +1) = (5p -3 )-13
⇒ 7p = 28
⇒ p= 4
∴ When p = 4,(2p +1) ,13 and (5p- 3) from three consecutive terms of an AP .
APPEARS IN
संबंधित प्रश्न
A small terrace at a football field comprises 15 steps, each of which is 50 m long and built of solid concrete. Each step has a rise of `1/4` m and a tread of `1/2` m (See figure). Calculate the total volume of concrete required to build the terrace.
[Hint: Volume of concrete required to build the first step = `1/4 xx 1/2 xx 50 m^3`]
If (m + 1)th term of an A.P is twice the (n + 1)th term, prove that (3m + 1)th term is twice the (m + n + 1)th term.
Find the sum of all integers between 100 and 550, which are divisible by 9.
If 10 times the 10th term of an AP is equal to 15 times the 15th term, show that its 25th term is zero.
Rs 1000 is invested at 10 percent simple interest. Check at the end of every year if the total interest amount is in A.P. If this is an A.P. then find interest amount after 20 years. For this complete the following activity.
Find the sum (−5) + (−8)+ (−11) + ... + (−230) .
Find the sum: 1 + 3 + 5 + 7 + ... + 199 .
If Sr denotes the sum of the first r terms of an A.P. Then , S3n: (S2n − Sn) is
If the first term of an A.P. is 2 and common difference is 4, then the sum of its 40 terms is
If \[\frac{1}{x + 2}, \frac{1}{x + 3}, \frac{1}{x + 5}\] are in A.P. Then, x =
If the sums of n terms of two arithmetic progressions are in the ratio \[\frac{3n + 5}{5n - 7}\] , then their nth terms are in the ratio
If the first term of an A.P. is a and nth term is b, then its common difference is
The sum of first n odd natural numbers is ______.
Q.18
Find the sum of first 10 terms of the A.P.
4 + 6 + 8 + .............
Find the sum of first 20 terms of an A.P. whose first term is 3 and the last term is 57.
Find the sum of the first 10 multiples of 6.
A merchant borrows ₹ 1000 and agrees to repay its interest ₹ 140 with principal in 12 monthly instalments. Each instalment being less than the preceding one by ₹ 10. Find the amount of the first 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 ______.
Find the sum of first 'n' even natural numbers.
