मराठी
महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

The nth term of an A.P. 5, 8, 11, 14, ...... is 68. Find n = ? - Algebra

Advertisements
Advertisements

प्रश्न

The nth term of an A.P. 5, 8, 11, 14, ...... is 68. Find n = ?

बेरीज
Advertisements

उत्तर

The given A.P. is 5, 8, 11, 14, ......

Here, a = 5, d = 8 – 5 = 3, tn = 68

Since tn = a + (n – 1)d,

68 = 5 + (n – 1)(3)

∴ 68 = 5 + 3n – 3

∴ 68 = 2 + 3n

∴ 66 = 3n

∴ n = `66/3`

∴ n = 22

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 3: Arithmetic Progression - Q.3 (B)

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:

34 + 32 + 30 +...+10


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.


Select the correct alternative and write it. 

What is the sum of first n natural numbers ? 

 


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?


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


Find tn if a = 20 आणि d = 3


Find t5 if a = 3 आणि d = −3


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, ......


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


In an A.P. if the sum of third and seventh term is zero. Find its 5th term.


Write the next two terms of the A.P.: `sqrt(27), sqrt(48), sqrt(75)`......


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×