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प्रश्न
How many multiples of 4 lie between 10 and 205?
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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
If the 9th term of an A.P. is zero, then prove that 29th term is double of 19th term.
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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, ...
Select the correct alternative and write it.
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Find tn if a = 20 आणि d = 3
Decide whether the given sequence 24, 17, 10, 3, ...... is an A.P.? If yes find its common term (tn)
How many two-digit numbers are divisible by 5?
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Here, d = 5, therefore this sequence is an A.P.
Here, a = 10, d = 5, tn = 95, n = ?
tn = a + (n − 1) `square`
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`square` = (n – 1)
Therefore n = `square`
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a = 5, d = `square`
Let nth term of this A.P. be 301
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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, ......
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