Advertisements
Advertisements
प्रश्न
Find the value of x for which (x + 2), 2x, ()2x + 3) are three consecutive terms of an AP.
Advertisements
उत्तर
Since (x + 2), 2x and (2x +3) are in AP, we have
2x - (x+2) = (2x+3) -2x
⇒ x-2 = 3
⇒ x = 5
∴ x = 5
APPEARS IN
संबंधित प्रश्न
In an A.P., if S5 + S7 = 167 and S10=235, then find the A.P., where Sn denotes the sum of its first n terms.
Find the sum of first 20 terms of the sequence whose nth term is `a_n = An + B`
Find the sum of the first 22 terms of the A.P. : 8, 3, –2, ………
If the 10th term of an AP is 52 and 17th term is 20 more than its 13th term, find the AP
How many two-digit number are divisible by 6?
How many three-digit natural numbers are divisible by 9?
Write the next term of the AP `sqrt(2) , sqrt(8) , sqrt(18),.........`
In a school, students decided to plant 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 double of the class in which they are studying. If there are 1 to 12 classes in the school and each class has two sections, find how many trees were planted by the students.
Write 5th term from the end of the A.P. 3, 5, 7, 9, ..., 201.
The number of terms of the A.P. 3, 7, 11, 15, ... to be taken so that the sum is 406 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 nth term of an A.P. is 2n + 1, then the sum of first n terms of the A.P. is
If k, 2k − 1 and 2k + 1 are three consecutive terms of an A.P., the value of k is
Q.1
Obtain the sum of the first 56 terms of an A.P. whose 18th and 39th terms are 52 and 148 respectively.
Write the formula of the sum of first n terms for an A.P.
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
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.
If sum of first 6 terms of an AP is 36 and that of the first 16 terms is 256, find the sum of first 10 terms.
