Advertisements
Advertisements
प्रश्न
Find where 0 (zero) is a term of the A.P. 40, 37, 34, 31, ..... .
Advertisements
उत्तर
Let a be the first term and d be the common difference.
We know that, nth term = an = a + (n − 1)d
It is given that a = 40, d = −3 and an = 0
According to the question,
⇒ 0 = 40 + (n − 1)(−3)
⇒ 0 = 40 − 3n + 3
⇒ 3n = 43
⇒ n = \[\frac{43}{3}\] .... (1)
Here, n is the number of terms, so must be an integer.
Thus, there is no term where 0 (zero) is a term of the A.P. 40, 37, 34, 31, ..... .
APPEARS IN
संबंधित प्रश्न
Find the sum of first 30 terms of an A.P. whose second term is 2 and seventh term is 22
The sum of the first p, q, r terms of an A.P. are a, b, c respectively. Show that `\frac { a }{ p } (q – r) + \frac { b }{ q } (r – p) + \frac { c }{ r } (p – q) = 0`
Find the sum given below:
–5 + (–8) + (–11) + ... + (–230)
Find the sum of first 15 multiples of 8.
Find the sum of first 20 terms of the sequence whose nth term is `a_n = An + B`
Find the sum of all multiples of 7 lying between 300 and 700.
How many two-digits numbers are divisible by 3?
Determine k so that (3k -2), (4k – 6) and (k +2) are three consecutive terms of an AP.
If (2p +1), 13, (5p -3) are in AP, find the value of p.
If the sum of first p terms of an AP is 2 (ap2 + bp), find its common difference.
Write an A.P. whose first term is a and common difference is d in the following.
a = –19, d = –4
Find the A.P. whose fourth term is 9 and the sum of its sixth term and thirteenth term is 40.
What is the sum of first 10 terms of the A. P. 15,10,5,........?
The sum of first 9 terms of an A.P. is 162. The ratio of its 6th term to its 13th term is 1 : 2. Find the first and 15th term of the A.P.
If 18, a, b, −3 are in A.P., the a + b =
Let the four terms of the AP be a − 3d, a − d, a + d and a + 3d. find A.P.
The sum of first six terms of an arithmetic progression is 42. The ratio of the 10th term to the 30th term is `(1)/(3)`. Calculate the first and the thirteenth term.
First four terms of the sequence an = 2n + 3 are ______.
Find the sum of all the 11 terms of an A.P. whose middle most term is 30.
