Advertisements
Advertisements
प्रश्न
Check whether -150 is a term of the A.P. 11, 8, 5, 2, ....
Advertisements
उत्तर
For this A.P.,
a = 11
d = a2 − a1
= 8 − 11
= −3
Let −150 be the nth term of this A.P.
We know that,
an = a + (n − 1) d
-150 = 11 + (n - 1)(-3)
-150 = 11 - 3n + 3
-164 = -3n
n = `164/3`
Clearly, n is not an integer.
Therefore, -150 is not a term of this A.P.
संबंधित प्रश्न
In an AP given d = 5, S9 = 75, find a and a9.
The first and last terms of an AP are a and l respectively. Show that the sum of the nth term from the beginning and the nth term form the end is (a + l).
If 18, a, (b – 3) are in AP, then find the value of (2a – b).
Find the sum of the first 15 terms of each of the following sequences having nth term as xn = 6 − n .
If the first term of an A.P. is a and nth term is b, then its common difference is
If 18, a, b, −3 are in A.P., the a + b =
Find the sum of all members from 50 to 250 which divisible by 6 and find t13.
Solve for x: 1 + 4 + 7 + 10 + ... + x = 287.
In an A.P., if Sn = 3n2 + 5n and ak = 164, find the value of k.
The 5th term and the 9th term of an Arithmetic Progression are 4 and – 12 respectively.
Find:
- the first term
- common difference
- sum of 16 terms of the AP.
