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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 For an A.P. 5, 12, 19, 26, … a = ? - Algebra

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प्रश्न

Choose the correct alternative answer for the following sub question

For an A.P. 5, 12, 19, 26, … a = ?

पर्याय

  • 12

  • 26

  • 19

  • 5

MCQ

उत्तर

5

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

संबंधित प्रश्‍न

Write the first three terms of the A.P. whose common difference is ‒3 and first term is 4.


Babubhai borrows Rs. 4,000 and agrees to repay with a total interest of Rs. 500 in 10 installments, each installment being less than the preceding installment by Rs. 10. What should be the first and the last installments?


The 14th term of an A.P. is twice its 8th term. If its 6th term is -8, then find the sum of its first 20 terms.


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


Write the first three terms in each of the sequences defined by the following

an = 3n + 2


The 10th term of an A.P. is 52 and 16th term is 82. Find the 32nd term and the general term


Four numbers are in A.P. If their sum is 20 and the sum of their square is 120, then find the middle terms


In the following situation, involved make an arithmetic progression? and why?

The amount of air present in a cylinder when a vacuum pump removes 1/4 of the air remaining in the cylinder at a time.


Find n if the nth term of the following A.P. is 68

5, 8, 11, 14, ..........


Write the sequence with nth term: an = 9 − 5n


Find the 10th term of the A.P. −40, −15, 10, 35, ...


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

−1, −3, −5, −7, ...; x = −151


Find the number of natural numbers between 101 and 999 which are divisible by both 2 and 5.


Check whether the following sequence is in A.P.

`(-1)/3, 0, 1/3, 2/3, ...`


If the sequence t1, t2, t3 … is in A.P. then the sequence t6, t12, t18 … is


Which of the following form an AP? Justify your answer.

`1/2, 1/3, 1/4, ...`


Two APs have the same common difference. The first term of one AP is 2 and that of the other is 7. The difference between their 10th terms is the same as the difference between their 21st terms, which is the same as the difference between any two corresponding terms. Why?


Verify that the following is an AP, and then write its next three terms.

`sqrt(3), 2sqrt(3), 3sqrt(3),...`


Case Study

Push-ups are a fast and effective exercise for building strength. These are helpful in almost all sports including athletics. While the push-up primarily targets the muscles of the chest, arms, and shoulders, support required from other muscles helps in toning up the whole body.


Nitesh wants to participate in the push-up challenge. He can currently make 3000 push-ups in one hour. But he wants to achieve a target of 3900 push-ups in 1 hour for which he practices regularly. With each day of practice, he is able to make 5 more push-ups in one hour as compared to the previous day. If on first day of practice he makes 3000 push-ups and continues to practice regularly till his target is achieved. Keeping the above situation in mind answer the following questions:

  1. Form an A.P representing the number of push-ups per day and hence find the minimum number of days he needs to practice before the day his goal is accomplished?
  2. Find the total number of push-ups performed by Nitesh up to the day his goal is achieved.

If k + 2, 4k – 6 and 3k – 2 are three consecutive terms of an A.P., then the value of k is ______.


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