Advertisements
Advertisements
प्रश्न
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
उत्तर
The given sequence is 12, 16, 20, 24, . . .
Here,
First term (a) = 12
Common difference (d) = a2 – a1 = 16 – (12) = 4
Now,
\[a_{24} = a + \left( n - 1 \right)d\]
\[ = 12 + \left( 24 - 1 \right)4\]
\[ = 12 + \left( 23 \right)4\]
\[ = 104\]
Hence, the 24th term of the progression is 104.
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:
`7 + 10 1/2 + 14 + ....... + 84`
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 19th term of the following A.P.:
7, 13, 19, 25, ...
Find the 27th term of the following A.P.
9, 4, –1, –6, –11,...
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 = _______.
If the sum of first n terms of an AP is n2, then find its 10th term.
Find t5 if a = 3 आणि 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, ......
12, 16, 20, 24, ...... Find 25th term of this A.P.
If tn = 2n – 5 is the nth term of an A.P., then find its first five terms
If p - 1, p + 3, 3p - 1 are in AP, then p is equal to ______.
Write the next two terms of the A.P.: `sqrt(27), sqrt(48), sqrt(75)`......
