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

Find d if t9 = 23 व a = 7 - Algebra

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प्रश्न

Find d if t9 = 23 व a = 7

बेरीज

उत्तर

t9 = 23    ......[Given]

∴ 7 + (9 – 1)d = 23    ......[tn = a + (n – 1)d]

∴ 7 + 8d = 23

∴ 8d = 16

∴ d = `16/8`

= 2

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

संबंधित प्रश्‍न

State whether the following sequence is an AP or not: 1, 3, 6, 10………


If m times mth term of an A.P. is equal to n times its nth term, then show that (m + n)th term of the A.P. is zero.


For what value of k will k + 9, 2k – 1 and 2k + 7 are the consecutive terms of an A.P?


Determine the general term of an A.P. whose 7th term is –1 and 16th term 17


Write first four terms of the A.P. when the first term a and the common differenced are given as follows:

 a = 10, d = 10


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

`-1/2, -1/2, -1/2, -1/2` ....


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

`sqrt3, sqrt6, sqrt9, sqrt12 ...`


For the following arithmetic progressions write the first term a and the common difference d:

−1.1, −3.1, −5.1, −7.1, ...


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

`a = -1, d = 1/2`

 


Which of the following sequences are arithmetic progressions? For those which are arithmetic progressions, find out the common difference.

3, 6, 12, 24, ...


Which of the following sequences are arithmetic progressions? For those which are arithmetic progressions, find out the common difference.

3, 3, 3, 3, .....


If x + 1, 3x and 4x + 2 are in A.P., find the value of x.


Find the common difference of the A.P. and write the next two terms  \[0, \frac{1}{4}, \frac{1}{2}, \frac{3}{4}, . . . \]


The product of four consecutive positive integers is 840. Find the numbers.


Which term of an A.P. 16, 11, 6, 1, ... is – 54?


Which of the following form an AP? Justify your answer.
0, 2, 0, 2,...


In which of the following situations, do the lists of numbers involved form an AP? Give reasons for your answers.

The fee charged from a student every month by a school for the whole session, when the monthly fee is Rs 400.


First term and common difference of an A.P. are 1 and 2 respectively; find S10.

Given: a = 1, d = 2

find S10 = ?

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

S10 = `10/2 [2 xx 1 + (10 - 1)square]`

= `10/2[2 + 9 xx square]`

= `10/2 [2 + square]`

= `10/2 xx square = square`


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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