Questions

Find the sum of the sequence, $\rm 2^1, 2^2, 2^3, 2^4, \dots ,$ to 10 terms.

Find the sum of the geometric series whose first term is 1, the common ratio is 3, and the last term is 243.

Find the sum of the geometric sequence: $\rm 2, -16, 18, -54, \dots $, to 6 terms.

Find the sum of the geometric sequence: $\rm 32, 48, 72, \dots $, to 8 terms.

Find the sum of the geometric sequence: $\rm 1, -2, 4, \dots $, to 11 terms.

Find the sum of the geometric sequence: $\rm 1, -3, 9, -27, \dots $, to 9 terms.

Find the sum of the geometric sequence: $\rm 128, 64, 32, \dots $, to 15 terms.

Find the sum of the geometric sequence: $\rm 1, 2, 4, \dots $, to 10 terms.

Jenisha borrows Rs 4368 which she promises to pay in 6 annual installments, each installment being treble of the preceding one.

1. Which progression is associated with given situation?
2. Find the amount of the first installment.
3. Find the amount of the last installment.

In a shop, 5 pens are sold on the first day and the double number of pens are sold in everyday as comparison of previous day.

1. Which progression is associated with this situation?
2. On which day does he sell 160 pens?
3. How many pens does he sell in $\rm 9^{th}$ day?