हिंदी

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

Advertisements
Advertisements

प्रश्न

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

Advertisements

उत्तर

We need to find the 15th term of the A.P., 4, 9, 14
Here, the initial term is, a = 4.
Common difference = 14 - 9 = 9 - 4 = 5
The general term of an A.P is given by the formula,
tn = a + (n - 1)d
 t15 = 4 + (15 - 1) × 5
 t15 = 4 + 14 × 5
 t15 = 4 + 70
 t15 = 74

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
2014-2015 (March)

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


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, ...


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.


Find the 23rd term of the following A.P.: 9, 4,-1,-6,-11.


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 tn if a = 20 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


12, 16, 20, 24, ...... Find 25th term of this A.P.


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)`......


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×