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Choose the correct alternative answer for the following sub-question If the third term and fifth term of an A.P. are 13 and 25 respectively, find its 7th term - Algebra Mathematics 1

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प्रश्न

Choose the correct alternative answer for the following sub-question

If the third term and fifth term of an A.P. are 13 and 25 respectively, find its 7th term

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उत्तर

37

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अध्याय 3: Arithmetic Progression - Q.1 (A)

संबंधित प्रश्न

Find the term t15 of an A.P. : 4, 9, 14, …………..


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, ..............


Given Arithmetic Progression 12, 16, 20, 24, . . . Find the 24th term of this progression.


Find the 19th term of the following A.P.:

7, 13, 19, 25, ...


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. 


How many multiples of 4 lie between 10 and 205?


Find t5 if a = 3 आणि d = −3


How many two-digit numbers are divisible by 5?

Activity :-  Two-digit numbers divisible by 5 are, 10, 15, 20, ......, 95.

Here, d = 5, therefore this sequence is an A.P.

Here, a = 10, d = 5, tn = 95, n = ?

tn = a + (n − 1) `square`

`square` = 10 + (n – 1) × 5

`square` = (n – 1) × 5

`square` = (n – 1)

Therefore n = `square`

There are `square` two-digit numbers divisible by 5


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.


Find a and b so that the numbers a, 7, b, 23 are in A.P.


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