English
Maharashtra State BoardSSC (English Medium) 10th Standard

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

Advertisements
Advertisements

Questions

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

Given A.P. is 12, 16, 20, 24, ...... Find the 24th term of this progression.

Sum
Advertisements

Solution

The given sequence is 12, 16, 20, 24,...

Here,

First term (a) = 12

Common difference (d) = a2 – a1

= 16 – (12)

= 4
Now,

a24 = a + (n – 1)d

∴ a24 = 12 + (24 – 1) 4

= 12 + 23 × 4

= 12 + 92

= 104

Hence, the 24th term of the progression is 104. 

shaalaa.com
  Is there an error in this question or solution?
Chapter 3: Arithmetic Progression - Practice Set 3.2 [Page 66]

APPEARS IN

Balbharati Algebra Mathematics 1 [English] Standard 10 Maharashtra State Board
Chapter 3 Arithmetic Progression
Practice Set 3.2 | Q 3 | Page 66

RELATED QUESTIONS

Find the sum of  the following arithmetic series:

`7 + 10 1/2 + 14 + ... + 84`


Find the sum of the following arithmetic series:

34 + 32 + 30 + ... + 10


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.


Find tn if a = 20 and d = 3.


Find t5 if a = 3 and 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,......


If tn = 2n – 5 is the nth term of an A.P., then find its first five terms.


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


If p - 1, p + 3, 3p - 1 are in AP, then p is equal to ______.


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


What is the formula for the nth (general) term of an arithmetic progression?


In the nth term formula \( t_{n} = a + (n - 1)d \), what does the symbol \( d \) represent?


The \( 10^{th} \) term and the \( 18^{th} \) term of an A.P. are \( 25 \) and \( 41 \) respectively. What is the first term \( a \)?


Meera asked for 10 gold coins in the first month, doubling the amount every month. What is Meera's salary in the \( 12^{th} \) month?


For Meera's salary pattern \( 10, 20, 40, 80, \ldots \), what is the common ratio shown by consecutive terms?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×