Advertisements
Advertisements
Questions
Given Arithmetic Progression 12, 16, 20, 24, . . . Find the 24th term of this progression.
Given A.P. is 12, 16, 20, 24, ...... Find the 24th term of this progression.
Advertisements
Solution
The given sequence is 12, 16, 20, 24,...
Here,
First term (a) = 12
Common difference (d) = a2 – a1
= 16 – (12)
= 4
Now,
a24 = a + (n – 1)d
∴ a24 = 12 + (24 – 1) 4
= 12 + 23 × 4
= 12 + 92
= 104
Hence, the 24th term of the progression is 104.
RELATED QUESTIONS
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:
34 + 32 + 30 + ... + 10
Find the sum of the following arithmetic series:
(–5) + (–8) + (–11) + ... + (–230)
Six year before, the age of mother was equal to the square of her son's age. Three year hence, her age will be thrice the age of her son then. Find the present ages of the mother and son.
Select the correct alternative and write it.
If a share is at premium, then -
For a given A.P. a = 3.5, d = 0, then tn = _______.
Find the 23rd term of the following A.P.: 9, 4,-1,-6,-11.
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.
Decide whether the given sequence 24, 17, 10, 3,...... is an A.P.? If yes find its common term (tn).
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 = ?
Find a and b so that the numbers a, 7, b, 23 are in A.P.
Write the next two terms of the A.P.: `sqrt(27), sqrt(48), sqrt(75)`......
