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India
Class XI

Applications of Arithmetic Progressions

Interactive practice questions

A diving vessel descends below the surface of the water at a constant rate so that the depth of the vessel after $4$4 minutes, $8$8 minutes and $12$12 minutes is $5$5 metres, $10$10 metres and $15$15 metres respectively.

If $n$n is the number of minutes it takes to reach a depth of $40$40 metres, solve for $n$n.

Easy
3min

Tobias starts his career with a monthly wage of $\$3500$$3500. At the beginning of each year that follows he receives a raise and his monthly wage for that year will be $\$160$$160 greater than the previous year.

Easy
14min

A termite treatment will cost $\$250$$250 for the first half hour, $\$245$$245 for the second half hour, $\$240$$240 for the third half hour and so on.

What will be the cost of a treatment that takes $6$6 hours?

Easy
3min

A paver needs to pave a floor with an area of $800$800 square metres. He can pave $50$50 square metres a day.

Easy
1min
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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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