Divide 32 into four parts which are in A.P. such that the ratio of the – InterviewSolution

InterviewSolution

1.	Divide 32 into four parts which are in A.P. such that the ratio of the product of extremes to the product of means is 7:15.
Answer» Correct Answer - (2, 6, 10, 14) or (14, 10, 6, 2) Hint: Let these parts be (a-3d), (a-d), (a+d) and (a + 3d).

Discussion

No Comment Found

Related InterviewSolutions

If 4 times the 4th term of an AP is equal to 18 times its 18th term then find its 22nd term.
Split 207 into three parts such that these are in A.P. and the product of the two smaller parts is 4623.
How many terms are there in the AP 18, `15(1)/(2), 13,…, -47?`
How many terms are there in the AP 11,18,25,32,39,…..,207?
How many terms are there in the AP `6, 10, 14, 18, ..., 174?`
Find the four numbers in A.P. whose sum is 20 and the sum of whosesquares is 120.
How many terms of the AP 18,16,14,12 ,….. Are needed to given the sum 78 ? Explain the double answer.
The sum of first n terms of an AP is `(5n - n^(2)).` The nth term of the AP isA. (5-2n)B. (6-2n)C. (2n -5)D. (2n-6)
Find the 28th term from the end of the AP 6,9,12,15,18,…..,102
Find four numbers in A.P. whose sum is 28 and the sum of whose squares is 216.