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

Choose the correct alternative answer for the following sub question. In an Arithmetic Progression 2, 4, 6, 8, ... the common difference d is ______ - Algebra

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प्रश्न

Choose the correct alternative answer for the following sub question.

In an Arithmetic Progression 2, 4, 6, 8, ... the common difference d is ______

पर्याय

  • 8

  • 6

  • 2

  • – 2

MCQ
रिकाम्या जागा भरा

उत्तर

2

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 3: Arithmetic Progression - Q.1 (A)

संबंधित प्रश्‍न

An arithmetic progression 5, 12, 19, …. has 50 terms. Find its last term. Hence find the sum of its last 15 terms.


Find the middle term of the A.P. 6, 13, 20, ... , 216.


The first three terms of an AP respectively are 3y – 1, 3y + 5 and 5y + 1. Then y equals:

(A) –3
(B) 4
(C) 5
(D) 2


The nth term of a sequence is 3n – 2. Is the sequence an A.P. ? If so, find its 10th term


If pth , qth and rth terms of an A.P. are a, b, c respectively, then show that

(i) a (q – r) + b(r – p) + c(p – q) = 0

(ii) (a – b) r + (b –¬ c) p + (c – a) q = 0


Following are APs or not? If they form an A.P. find the common difference d and write three more terms: 

 0, -4, -8, -12, …


If `S_5 = 15` and `S_6 = 21`, Find `t_6`.


Write the arithmetic progressions write the first term a and common difference d is as follows:

a = 4,d = -3


Find the 18th term of the AP `sqrt2, 3sqrt2, 5sqrt2.....`


Find 11th term of the A.P. 10.0, 10.5, 11.0, 11.5, ...


Find n if the given value of x is the nth term of the given A.P.

`5 1/2, 11, 16 1/2, 22, ......; x = 550`


If seven times the 7th term of an A.P. is equal to eleven times the 11th term, then what will be its 18th term?


For what value of k will the consecutive terms 2k + 1, 3k + 3 and 5k − 1 form an AP?


There is an auditorium with 27 rows of seats. There are 20 seats in the first row, 22 seats in the second row, 24 seats in the third row and so on. Find the number of seats in the 15th row and also find how many total seats are there in the auditorium?


Which of the following sequences is arithmetic progressions. For is arithmetic progression, find out the common difference.

12, 32, 52, 72, ...


Find 27th and nth term of given A.P. 5, 2, – 1, – 4, ......


Determine k so that k2 + 4k + 8, 2k2 + 3k + 6, 3k2 + 4k + 4 are three consecutive terms of an AP.


Which term in the A.P. 60, 56, 52, 48, 44, 40, ...... is the first negative term?


The school auditorium was to be constructed to accommodate at least 1500 people. The chairs are to be placed in concentric circular arrangement in such a way that each succeeding circular row has 10 seats more than the previous one.

  1. If the first circular row has 30 seats, how many seats will be there in the 10th row?
  2. For 1500 seats in the auditorium, how many rows need to be there?
    OR
    If 1500 seats are to be arranged in the auditorium, how many seats are still left to be put after the 10th row?
  3. If there were 17 rows in the auditorium, how many seats will be there in the middle row?

Treasure Hunt is an exciting and adventurous game where participants follow a series of clues/numbers/maps to discover hidden treasure. Players engage in a thrilling quest, solving puzzles and riddles to unveil the location of the coveted prize. While playing a treasure hunt game, some clues (numbers) are hidden in various spots collectively forming an A.P. If the number on the nth spot is 20 + 4n, then answer the following questions to help the players in spotting the clues:

  1. Which number is on first spot?     1

    1. Which spot is numbered as 112?     2
      OR
    2. What is the sum of all the numbers on the first 10 spots?    2
  2. Which number is on the (n – 2)th spot?     1

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