Advertisements
Advertisements
प्रश्न
Write an A.P. whose first term is a and common difference is d in the following.
Advertisements
उत्तर
a = –7, d = `1/2`
t1 = a = –7
t2 = a + d = `-7 + 1/2 = (-14 + 1)/2 = (-13)/2`
t3 = a + 2d = `-7 + 2(1/2)` = –7 + 1 = –6
t4 = a + 3d = `-7 + 3(1/2) = -7 + 3/2 = (-14 + 3)/2 = (-11)/2`
∴ A.P. is `-7, (-13)/2, -6, (-11)/2 .......`
∴ A.P. is –7, –6.5, –6, –5.5 ........
APPEARS IN
संबंधित प्रश्न
If the ratio of the sum of first n terms of two A.P’s is (7n +1): (4n + 27), find the ratio of their mth terms.
The ratio of the sum use of n terms of two A.P.’s is (7n + 1) : (4n + 27). Find the ratio of their mth terms
If the sum of first m terms of an A.P. is the same as the sum of its first n terms, show that the sum of its first (m + n) terms is zero
Find the sum of the following arithmetic progressions: 50, 46, 42, ... to 10 terms
Find the sum of n terms of an A.P. whose nth terms is given by an = 5 − 6n.
Find the sum of the first 40 positive integers divisible by 3.
Find the sum of two middle most terms of the AP `-4/3, -1 (-2)/3, ..., 4 1/3.`
The 8th term of an AP is zero. Prove that its 38th term is triple its 18th term.
Choose the correct alternative answer for the following question .
15, 10, 5,... In this A.P sum of first 10 terms is...
Two A.P.’s are given 9, 7, 5, ... and 24, 21, 18, ... If nth term of both the progressions are equal then find the value of n and nth term.
In an A.P. the first term is 8, nth term is 33 and the sum to first n terms is 123. Find n and d, the common differences.
The number of terms of the A.P. 3, 7, 11, 15, ... to be taken so that the sum is 406 is
The sum of n terms of an A.P. is 3n2 + 5n, then 164 is its
If the sum of the first m terms of an AP is n and the sum of its n terms is m, then the sum of its (m + n) terms will be ______.
The sum of first ten natural number is ______.
The sum of first n terms of the series a, 3a, 5a, …….. is ______.
If 7 times the seventh term of the AP is equal to 5 times the fifth term, then find the value of its 12th term.
Find the sum of all odd numbers between 351 and 373.
Find the sum of all even numbers from 1 to 250.
The sum of n terms of an A.P. is 3n2. The second term of this A.P. is ______.
