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

Choose the Correct Alternative Answer For the Following Question . in an A.P. First Two Terms Are –3, 4 Then 21st Term is ...

Advertisements
Advertisements

प्रश्न

Choose the correct alternative answer for  the following question . 

In an A.P. first two terms are –3, 4 then 21st term is ...

पर्याय

  • -143

  • 143 

  • 137 

  • 17

MCQ
Advertisements

उत्तर

It is given that,
a = –3
a2 = 4
We know that,

\[a_2 = a + \left( 2 - 1 \right)d\]

\[ \Rightarrow 4 = - 3 + d\]

\[ \Rightarrow d = 7\]

Now,

\[a_{21} = a + \left( 21 - 1 \right)d\]

\[ = - 3 + 20\left( 7 \right)\]

\[ = - 3 + 140\]

\[ = 137\]

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 3: Arithmetic Progression - Problem Set 3 [पृष्ठ ७८]

APPEARS IN

बालभारती Algebra Mathematics 1 [English] Standard 10 Maharashtra State Board
पाठ 3 Arithmetic Progression
Problem Set 3 | Q 1.06 | पृष्ठ ७८

संबंधित प्रश्‍न

200 logs are stacked in the following manner: 20 logs in the bottom row, 19 in the next row, 18 in the row next to it and so on. In how many rows are the 200 logs placed, and how many logs are in the top row?


If the sum of first m terms of an A.P. is the same as the sum of its first n terms, show that the sum of its first (m + n) terms is zero


How many terms of the A.P. 63, 60, 57, ... must be taken so that their sum is 693?


In an A.P., if the 5th and 12th terms are 30 and 65 respectively, what is the sum of first 20 terms?


Find the sum:

25 + 28 + 31 + ... + 100


Choose the correct alternative answer for  the following question .

15, 10, 5,... In this A.P sum of first 10 terms is...


If first term of an A.P. is a, second term is b and last term is c, then show that sum of all terms is  \[\frac{\left( a + c \right) \left( b + c - 2a \right)}{2\left( b - a \right)}\].


The first term of an A. P. is 5 and the common difference is 4. Complete the following activity and find the sum of the first 12 terms of the A. P.

a = 5, d = 4, s12 = ?
`s_n = n/2 [ square ]`
`s_12 = 12/2 [10 +square]`
         `= 6 × square  `
         ` =square`


In an A.P. the first term is 8, nth term is 33 and the sum to first n terms is 123. Find n and d, the common differences.


​The first and the last terms of an A.P. are 7 and 49 respectively. If sum of all its terms is 420, find its common difference. 


If the sum of P terms of an A.P. is q and the sum of q terms is p, then the sum of p + q terms will be


If the sum of n terms of an A.P. be 3n2 + n and its common difference is 6, then its first term is ______.


Let Sn denote the sum of n terms of an A.P. whose first term is a. If the common difference d is given by Sn − kSn−1 + Sn−2, then k =


Two A.P.'s have the same common difference. The first term of one of these is 8 and that of the other is 3. The difference between their 30th term is


The sum of n terms of an A.P. is 3n2 + 5n, then 164 is its


If an = 3 – 4n, show that a1, a2, a3,... form an AP. Also find S20.


Determine the sum of first 100 terms of given A.P. 12, 14, 16, 18, 20,......

Activity :- Here, a = 12, d = `square`, n = 100, S100 = ?

Sn = `"n"/2 [square + ("n" - 1)"d"]`

S100 = `square/2 [24 + (100 - 1)"d"]`

= `50(24  +  square)`

= `square`

= `square`


Find t21, if S41 = 4510 in an A.P.


If the numbers n - 2, 4n - 1 and 5n + 2 are in AP, then the value of n is ______.


Find the sum of all the 11 terms of an A.P. whose middle most term is 30.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×