If 4 positive quantities are in continued proportion, show that the difference between the first and last term is at least 3 times as great the other two.

If 4 positive quantities are in continued proportion,show that the difference between the first and last term is at least 3 xx as great the other two.

If three quantities are in continued proportion, show that the ratio of the first to the third is the duplicate ratio of the first to the second.

The sum of 6 terms which form an A.P. is 345. The difference between the first and last term is 55. Find the terms.

In an A.P. the sum of the first ten terms is 210 and thee difference between the first and the last term si 36 . Fiind the first term in the A.P.

Two A.P.'s have the same common difference. The first term of one A.P. is 2 and that of the other is 7. Show that the difference between their 10th terms is the same as the difference between their 21th terms, which is the same as the difference between any two corresponding terms.

Two A.P.'s have the same common difference. The first term of one A.P. is 2 and that of the other is 7. Show that the difference between their 10th terms is the same as the difference between their 21th terms, which is the same as the difference between any two corresponding terms.

If the difference between two numbers is 36 and one number is 4 times the other number, then the numbers are

If the difference between two numbers is 36 and one number is 4 times the other number, then the numbers are

Prove that the difference between the first term and the fourth term of a G.P. Is at least times as great as the difference between the second and the third terms. Assume that both the first term and common ratio are positive and the common ratio != 1 .