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India
Class XI

Applications of Geometric Progressions

Interactive practice questions

Suppose you save $\$1$$1 the first day of a month, $\$2$$2 the second day, $\$4$$4 the third day, $\$8$$8 the fourth day, and so on. That is, each day you save twice as much as you did the day before.

a

What will you put aside for savings on the $17$17th day of the month?

b

What will you put aside for savings on the $29$29th day of the month?

Easy
2min

Suppose you save $\$1$$1 the first day of a month, $\$2$$2 the second day, $\$4$$4 the third day, $\$8$$8 the fourth day, and so on. That is, each day you save twice as much as you did the day before.

Easy
4min

A car enthusiast purchases a vintage car for $\$220000$$220000. Each year, its value increases at a rate of $12$12 percent of its value at the beginning of the year. Find its value after $7$7 years, to two decimal places.

Easy
2min

Average annual salaries are expected to increase by $5$5 percent each year. If the average annual salary this year is found to be $\$49000$$49000:

Easy
6min
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Outcomes

11.A.SS.1

Sequence and Series. Arithmetic progression (A. P.), arithmetic mean (A.M.). Geometric progression (G.P.), general term of a G. P., sum of n terms of a G.P., geometric mean (G.M.), relation between A.M. and G.M. Sum to n terms of the special series, involving n, n^2, n^3 (see syllabus)

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