Ananya saves Rs. 24 during the first month Rs. 30 in the second month and Rs. 36 in the third month. She continues to save in this manner.
On the basis of above information answer the following questions.
(i) Whether the monthly savings of Ananya form an AP or not ? If yes then write the first term and common difference.
(6)
Savings of Ananya are Rs. 24, Rs. 30, Rs. 36, ...
Since it is uniformly increasing by Rs. 6, therefore it forms an AP.
Here, a = 24, d = 30 – 24 = 6
Ananya saves Rs. 24 during the first month Rs. 30 in the second month and Rs. 36 in the third month. She continues to save in this manner.
On the basis of above information answer the following questions.
(ii) What is the amount that she will save in 15th month?
(108)
Ananya saves Rs. 24 during the first month Rs. 30 in the second month and Rs. 36 in the third month. She continues to save in this manner.
On the basis of above information answer the following questions.
(iii) In which month, will she save Rs. 66?
(8)
Ananya saves Rs. 24 during the first month Rs. 30 in the second month and Rs. 36 in the third month. She continues to save in this manner.
On the basis of above information answer the following questions.
(iv) What is the common difference of an AP whose nth term is 8 – 5n?
(-5)
A school has decided to plant some endangered trees on 51st World Environment Day in the nearest park. They have decided to plant those trees in few concentric circular rows such that each succeeding row has 20 more trees than the previous one. The first circular row has 50 trees.
[IMAGE]
Based on the above given information, answer the question :
Q. How many trees will be planted in the 10th row ?
(230)
Here = 50 and = 20
Number of trees planted in 10th row = = 50 + 9 × 20 = 230
A school has decided to plant some endangered trees on 51st World Environment Day in the nearest park. They have decided to plant those trees in few concentric circular rows such that each succeeding row has 20 more trees than the previous one. The first circular row has 50 trees.
[IMAGE]
Based on the above given information, answer the questions :
Q. How many more trees will be planted in the 8th row than in the 5th row ?
(60)
Here and
A school has decided to plant some endangered trees on 51st World Environment Day in the nearest park. They have decided to plant those trees in few concentric circular rows such that each succeeding row has 20 more trees than the previous one. The first circular row has 50 trees.
[IMAGE]
Based on the above given information, answer the question :
Q. If 3200 trees are to be planted in the park, then how many rows are required ?
(16)
Here and
Let
Since,
Hence, required number of rows are 16
A school has decided to plant some endangered trees on 51st World Environment Day in the nearest park. They have decided to plant those trees in few concentric circular rows such that each succeeding row has 20 more trees than the previous one. The first circular row has 50 trees.
[IMAGE]
Based on the above given information, answer the question :
Q. If 3200 trees are to be planted in the park, then how many trees are still left to be planted after the 11th row ?
(1550)
Required number of trees =
Hence, number of trees left are 1550
