Question

Runs scored by a batsman from the first to the sixth innings in an ODI series were in increasing
arithmetic progression. What is the average of the runs scored by him in the last five innings?

1) Average of the runs scored in 3rd and 4th innings
2) Runs scored in the 3rd innings
3) Runs scored in the 4th innings
4) Cannot be determined​

Answer 1

Answer:

find the difference between 762596 to get 31485

Answer 2

Answer:

The correct answer is option (3)

Step-by-step explanation:

Given,

Runs scored by a batsman from the first to the sixth innings are in increasing arithmetic progression.

To find,

Average runs scored by him in the last five innings

Solution:

Recall the concept

If 'a' is the first term and 'd' is the common difference, then the AP is

a,a+d,a+2d, a+3d,........

Since the runs scored by a batsman from the first to the sixth innings is in increasing arithmetic progression, we can take the runs scored by him as,

a, a+d,a+2d, a+3d, a+4d, a+5d

The average of the runs scored in the last five innings = $\frac{Total \ runs\ scored \ in \ last \ five \ innings}{5}$

= $\frac{ a+d+ a+2d+ a+3d+ a+4d+ a+5d}{5}$

= $\frac{5a+15d}{5}$

= a+3d

= the fourth term of the AP

= The runs scored by the batsman in the 4th innings

The average of the runs scored by him in the last five innings = The runs scored by the batsman in the 4th innings

Hence the correct answer is option (3)

#SPJ5