M L Aggarwal Solutions for Chapter: Appendix Mathematical Modelling, Exercise 5: ARITHMETIC PROGRESSIONS

A part of a roof with trapezoidal shape needs to be tiled with roof tiles. The bottom row needs $95$ roof tiles and every higher row needs one roof tiles less than the row below it until there are $76$ roof tiles needed for the top row.

The $n^{th}$nth term of the A.P. is

A part of a roof with trapezoidal shape needs to be tiled with roof tiles. The bottom row needs $95$ roof tiles and every higher row needs one roof tiles less than the row below it until there are $76$ roof tiles needed for the top row.

The number of rows of the tiles are

Shown below is the growth of a sapling. If you observe carefully it is growing in an A.P.Its height in the third week was $7 \mathrm{cm}$ and in the $7\mathrm{th}$ week it was $19 \mathrm{cm}$.

Based on the above information, answer the question by choosing the correct option from the given four option:

What is the growth of the sapling per week?

Shown below is the growth of a sapling. If you observe carefully it is growing in an A.P.Its height in the third week was $7 \mathrm{cm}$ and in the $7\mathrm{th}$ week it was $19 \mathrm{cm}$.

Based on the above information, answer the question by choosing the correct option from the given four option:

In which week will the sapling grow up to a height of $31 \mathrm{cm}$?

Shown below is the growth of a sapling. If you observe carefully it is growing in an A.P.Its height in the third week was $7 \mathrm{cm}$ and in the $7\mathrm{th}$ week it was $19 \mathrm{cm}$.

Based on the above information, answer the question by choosing the correct option from the given four option:

What will the height(in cm) of the plant be in the $25\mathrm{th}$ week?

Shown below is the growth of a sapling. If you observe carefully it is growing in an A.P.Its height in the third week was $7 \mathrm{cm}$ and in the $7\mathrm{th}$ week it was $19 \mathrm{cm}$.

Based on the above information, answer the question by choosing the correct option from the given four option:

If $5$ times the $5\mathrm{th}$ term of an A.P. is equal to $10$ times the $10\mathrm{th}$ term of an A.P., then the $15\mathrm{th}$ term will be

An auditorium has $20$ seats in the first row, $24$ seats in the second and $28$ seats in the third row and so on.

Based on the information above, answer the question given by choosing the correct option from the given four options.

How many seats are there in the $16\mathrm{th}$ row?