Advertisements
Advertisements
प्रश्न
If a, b and c are in A.P. show that 4a, 4b and 4c are in A.P.
उत्तर
a, b and c are in A.P.
`=>` b – a = c – b
`=>` 2b = a + c
Given terms are 4a, 4b and 4c
Now 4b – 4a = 2(2b – 2a)
= 2(a + c – 2a)
= 2(c – a)
And 4c – 4b = 2(2c – 2b)
= 2(2c – a – c)
= 2(c – a)
Since 4b – 4a = 4c – 4b, the given terms are in A.P.
APPEARS IN
संबंधित प्रश्न
Which of the following sequences are in arithmetic progression?
`1/2, 1/3 , 1/4 , 1/5, ....`
Find the 50th term of the sequence:
`1/n, (n + 1)/n, (2n + 1)/n,..........`
How many terms are there in the series 0.5, 0.53, 0.56, ........, 1.1?
How many terms are there in the series `3/4, 1, 1 1/4, ........., 3`?
Which term of the A.P. 1, 4, 7, 10, ....... is 52?
In an A.P., ten times of its tenth term is equal to thirty times of its 30th term. Find its 40th term.
For the following A.P.s, write the first term a and the common difference d: – 3.2, – 3, – 2.8, – 2.6, …
Which of the following lists of numbers form an A.P.? If they form an A.P., find the common difference d and write the next three terms : a, 2a, 3a, 4a,...
The nth term of an Arithmetic Progression (A.P.) is 2n + 5. The 10th term is ______.
The nth term of an A.P. is 7n – 5. Its common difference is ______.
