Advertisements
Advertisements
प्रश्न
How many multiples of 4 lie between 10 and 205?
उत्तर
We need to find the number of multiples of 4 between 10 and 205.
So, multiples of 4 give the sequence 12, 16, ..., 204
a = 12, d = 4 and an=204">an = 204
Using the formula an=a+n-1d">an = a + (n−1)d
Plugging values in the formula we get
204=12+n-14204=12+4n-44n=196n=49">204 = 12 + (n−1)4
204 = 12 + 4n − 4
4n = 196
n = 49
Thus, there are 49 multiples of 4 between 10 and 205.
संबंधित प्रश्न
Find the term t15 of an A.P. : 4, 9, 14, …………..
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)
Find the 19th term of the following A.P.:
7, 13, 19, 25, ...
Select the correct alternative and write it.
What is the sum of first n natural numbers ?
Find tn if a = 20 आणि d = 3
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, ......
The nth term of an A.P. 5, 8, 11, 14, ...... is 68. Find n = ?
