Advertisements
Advertisements
प्रश्न
Find the 23rd term of the following A.P.: 9, 4,-1,-6,-11.
Advertisements
उत्तर
9, 4,-1,-6,-11
a = 9 , d = 4 - 9 = -5 , n = 23
tn = a + (n - 1) d
t23 = 9 + (23 - 1)(-5)
= 9 + 22 × -5
= 9 - 110
= -101
APPEARS IN
संबंधित प्रश्न
If the 9th term of an A.P. is zero, then prove that 29th term is double of 19th term.
Find the sum of the following arithmetic series:
(–5) + (–8) + (–11) + ... + (–230)
Decide whether the following sequence is an A.P., if so find the 20th term of the progression:
–12, –5, 2, 9, 16, 23, 30, ..............
Find the 27th term of the following A.P.
9, 4, –1, –6, –11,...
How many multiples of 4 lie between 10 and 205?
If third term and fifth term of an A.P. are 13 and 25 respectively, find its 7th term.
Find tn if a = 20 and d = 3.
Find t5 if a = 3 and d = –3.
Decide whether 301 is term of given sequence 5, 11, 17, 23,.....
Activity :- Here, d = `square`, therefore this sequence is an A.P.
a = 5, d = `square`
Let nth term of this A.P. be 301.
tn = a + (n – 1) `square`
301 = 5 + (n – 1) × `square`
301 = 6n – 1
n = `302/6` = `square`
But n is not positive integer.
Therefore, 301 is `square` the term of sequence 5, 11, 17, 23,......
If tn = 2n – 5 is the nth term of an A.P., then find its first five terms.
The nth term of an A.P. 5, 8, 11, 14,...... is 68. Find n = ?
If p - 1, p + 3, 3p - 1 are in AP, then p is equal to ______.
Find a and b so that the numbers a, 7, b, 23 are in A.P.
In an A.P. if the sum of third and seventh term is zero. Find its 5th term.
Write the next two terms of the A.P.: `sqrt(27), sqrt(48), sqrt(75)`......
