algebra

The numbers 28, \(x+2\), 112 form a G. P. What is the \(10^{th}\) term?

The sum of the first 10 terms of a geometric progression 2, 4, 8,... is

If the first term of a G.P. is 9 and the common ratio is \(-2/3\) find the fifth term.

The seventh term is 56 and the twelfth term is -1792 of a geometric progression. Find the common ratio and the first term. Assume the ratios are equal.

A person has 2 parents, 4 grandparents, 8 great grandparents and so on. How many ancestors during the 15 generations preceding his own, assuming no duplication?

In the PBA three-point shootout contest, the committee decided to give a prize in the following manner: A prize of P1 for the first basket made, P 2 for the second, P 4 for the third, P8 for the fourth and so on. If the contestant wants to win a prize of no less than a million pesos, what is the minimum number of baskets to be converted?

In a benefit show, a number of wealthy men agreed that the first one to arrive would pay 10 centavos to enter and each later arrive would pay twice as much as the preceding man. The total amount collected from all of them was P 104,857.50. How many wealthy men paid?

A man mailed 10 chain letters to ten of his friends with a request to continue by sending a similar letter to each of their ten friends. If this continue for 6 sets of letters and if all responded, how much will the Phil. Postal office earn if minimum postage costs P 4 per letter?

Determine the sum of the infinite series: \(S=\frac{1}{3}+\frac{1}{9}+\frac{1}{27}+...+(\frac{1}{3})^n\)

Under favorable condition, a single cell bacteria divided into two about every 20 minutes. If the same rate of division is maintained for 10 hours, how many organisms is produced from a single cell?

A rubber ball is made to fall from a height of 50 feet and is observed to rebound \(2/3\) of the distance it falls. How far will the ball travel before coming to rest if the ball continues to fall in this manner?

What is the fraction in lowest term equivalent to 0.133133133?

Find the sum of the infinite geometric progression 6, -2, \(2/3\), ...

Find the sum of 1, \(-\frac{1}{5}, \frac{1}{25}\)

Find the ratio of an infinite geometric progression if the sum is 2 and the first term is \(1/2\).

If equal spheres are piled in the form of a complete pyramid with an equilateral triangle as base, find the total number of spheres in the pile if each side of the base contains 4 spheres.

Find the \(6^{th}\) term of the sequence 55, 40, 28, 19, 13,...

In the series 1, 1, \(1/2\), \(1/6\), \(1/24\),..., determine the \(6^{th}\) term.

Find the \(1987^{th}\) digit in the decimal equivalent to \(\frac{1785}{9999}\) starting from the decimal point.

A shopkeeper offers a 25% discount on the marked price on an item. In order to now cost $48, what should the marked price be?