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. - Algebra Mathematics 1

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, …………..


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


Select the correct alternative and write it. 

What is the sum of first n natural numbers ? 

 


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


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, ......


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


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 = ?


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×