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

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

Advertisements
Advertisements

प्रश्न

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

बेरीज
Advertisements

उत्तर

9, 4,-1,-6,-11

a = 9 , d = 4 - 9 = -5  , n = 23

tn = a + (n - 1) d

t23 = 9 + (23 - 1)(-5)

= 9 + 22 × -5

= 9 - 110

= -101

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
2018-2019 (July) Set 1

APPEARS IN

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:

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


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 - 


How many multiples of 4 lie between 10 and 205?


Find tn if a = 20 and 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.


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


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 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?


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


How is the common difference \( d \) of an A.P. expressed using consecutive terms \( a_{n} \) and \( a_{n + 1} \)?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×