Question

the government of india is planning to plant 6000 trees in various parts of cities within a span of 10 yaers. They planted 500 in the first year and increased by 20 every year. After 10 years, how much more trees they will have to plant in order to reach the required target?

Answer 1

Answer:

Step-by-step explanation:

100

Answer 2

Given: The government of india is planning to plant 6000 trees in various parts of cities within a span of 10 yaers. They planted 500 in the first year and increased by 20 every year.  

To find: After 10 years, how much more trees they will have to plant in order to reach the required target.

Solution:

The given question can be solved by using the concept of arithmetic progression. In an arithmetic progression, the adjacent numbers of the sequence differ by a common value. In order to find the nth term of an arithmetic progression, the following formula is used.

$term = a+(n-1)d$

Here, a is the first term which is 500, n is the term to be found which is 10 and d is the common difference which is (500+20) for the given question.

$trees = 500 + (10-1)520$

        $= 5180$

Thus, after 10 years, 5180 trees would've been planeted. Now, to reach the required target, the number of trees that must be planted is calculated as shown below.

$6000 - 5180 = 820$

Therefore, after 10 years, they will have to plant 820 more trees in order to reach the required target.