The fourth term of an A.P. is ten times ...

The fourth term of an A.P. is ten times the first. Prove that the sixth term is four times as greater as the second term.

Text Solution

AI Generated Solution

Topper's Solved these Questions

SEQUENCE AND SERIES
ICSE|Exercise EXERCISE 14 (c) |32 Videos
SEQUENCE AND SERIES
ICSE|Exercise EXERCISE 14 (d) |22 Videos
SEQUENCE AND SERIES
ICSE|Exercise EXERCISE 14 (a) |13 Videos
SELF ASSESSMENT PAPER 5
ICSE|Exercise SECTION C|11 Videos
SEQUENCES AND SERIES
ICSE|Exercise MULTIPLE CHOICE QUESTIONS|34 Videos

Similar Questions

Explore conceptually related problems

The 5th term of an A.P. is three times the first term. Prove that its 7th term will be two times the 3rd term.

The fourth term of an A.P is zero. Prove that the 25th term is triple its 11th term

The fourth term of an A.P. is equal to 3 times the first term, and the seventh term exceeds twice the third term by 1. Find the first term and the common difference.

The 4t h term of an A.P. is three times the first and the 7t h term exceeds twice the third term by 1. Find the first term and the common difference.

The 4th term of an A.P. is three times the first and the 7th term exceeds twice the third term by four. Find the first term and the common difference.

The nth term of an A.P. is p and the sum of the first n term is s. Prove that the first term is (2s-pn)/(n)

The third term of a G.P. is the square of the first term. If the second term is 8, find its sixth term.

The fourth term of a G.P. is greater than the first term, which is positive, by 372. The third term is greater than the second by 60. Calculate the common ratio and the first term of the progression.

The sum of three terms of an A.P. is 21 and the product of the first and the third terms exceeds the second term by 6, find three terms.

ICSE-SEQUENCE AND SERIES -EXERCISE 14 (b)

Write the first six terms of an A.P. in which a= 7 (1)/(2) , d= 1 ...
Text Solution
|
Write the first six terms of an A.P. in which a=x ,d = 3x +2
Text Solution
|
Write the 5th and 8th terms of an AP whose 10th term is 43 and the com...
Text Solution
|
In each of the following find the terms required. (a) The seventh term...
Text Solution
|
Find the first four terms and the eleventh term of the series whose nt...
Text Solution
|
The 5th term of an A.P. is 11 and the 9th term is 7. Find the 16th ter...
Text Solution
|
Which term of the series 5, 8, 11...... is 320 ?
Text Solution
|
The fourth term of an A.P. is ten times the first. Prove that the sixt...
Text Solution
|
The fourth term of an A.P. is equal to 3 times the first term, and the...
Text Solution
|
Which term of the progression 19, 18(1)/(5), 17 (2)/(5) ,..... is the ...
Text Solution
|
Find the value of k so that 8k +4, 6k-2, and 2k + 7 will form an A.P.
Text Solution
|
Find a, b such that 7.2, a, b, 3 are in A.P.
Text Solution
|
Determine 2nd term and 5'th term of an A.P. whose 6th term is 12 and 8...
Text Solution
|
Prove that the product of the 2nd and 3rd terms of an A.P. exceeds the...
Text Solution
|
The 2nd, 31st and last term of an A.P. are 7(3)/(4) , (1)/(2) and -6(...
Text Solution
|
If 7 times the 7th term of an A.P. is equal to 11 times its 11th term,...
Text Solution
|
Determine k so that k + 2, 4k - 6 and 3k - 2 are three consecutive ter...
Text Solution
|
The pth term of an A.P. is q and the qth term is p, show that the mth ...
Text Solution
|
Let T be the rth term of an A.P. whose first term is a and conmon diff...
Text Solution
|
Given that the (p+1)th term of an A.P. is twice the (q+1)th term, prov...
Text Solution
|