हिंदी

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

Advertisements
Advertisements

प्रश्न

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

योग
Advertisements

उत्तर

The given A.P. is 12, 16, 20, 24,......

Here, a = 12, d = 16 – 12 = 4

Since tn = a + (n – 1)d

t25 = 12 + (25 – 1)(4)

= 12 + 24(4)

= 12 + 96

= 108

∴ 25th term of the given A.P. is 108.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 3: Arithmetic Progression - Q.3 (B)

संबंधित प्रश्न

Find the sum of the following arithmetic series:

34 + 32 + 30 + ... + 10


Find the sum of the following arithmetic series:

(–5) + (–8) + (–11) + ... + (–230)


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


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 t5 if a = 3 and d = –3.


Decide whether the given sequence 24, 17, 10, 3,...... is an A.P.? If yes find its common term (tn).


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.


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


What is the general pattern of an A.P. written term by term?


In the formula \( t_{10} = a + 9d = 25 \), which value is used in place of \( (n - 1) \)?


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?


From which month onwards does Meera's salary exceed Tara's salary?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×