Progressions

Question 11

If the average of the given 7 consecutive numbers is x. Now, the next three numbers are also added, what effect will it have on the calculated average?

• Remain unchanged

• Increase by 1

• Increase by 1.5

• Increase by 2

Question 12

Calculate the sum of given series: log₁₀10 + log₁₀10² + ... + log₁₀10ⁿ

• [Tex]\\n^2 + 1[/Tex]

• [Tex]\\n^2- 1[/Tex]

• [Tex]\\n^3 + 3[/Tex]

• [Tex]\\(n^2+ n)/2[/Tex]

Question 13

Four consecutive terms of an increasing arithmetic sequence are : x, 17, 3x - y² - 2 and 3x + y² - 30. 

The sum of the four numbers will be divisible by:

• 2

• 4

• 5

• None of the above

Question 14

Given an expression ¹³∑_n=11/n which can also be written as a/13! 

What would be the remainder if a is divided by 11?

• 3

• 5

• 7

• 9

Question 15

The value of the expression ¹⁰⁰∑_i=2 1/log_i100! is:

• 0.01
• 0.1
• 1
• 10