Take this Quiz: A-Level Maths: Sequences and Series | Zestly

Question 1

For an arithmetic sequence where the 5th term is 14 and the 12th term is 35, what is the common difference $d$?

Accepted Answer

3

Question 2

Which single condition on the common ratio $r$ is both necessary and sufficient for the sum to infinity of a geometric series with first term $a 
eq 0$ to exist?

Accepted Answer

$|r| < 1$

Question 3

Evaluate the sum $\sum_{k=1}^{10} (3k - 2)$.

Accepted Answer

145

Question 4

In a geometric sequence, the 2nd term is 6 and the 4th term is 54. Given that all terms are positive, what is the 1st term $a$?

Answer

2

Answer

3

Answer

4

Answer

6

Question 5

Which of the following statements correctly describe the properties of the binomial expansion $(1+x)^n$ for a positive integer $n$?

Answer

The expansion has $n+1$ terms

Answer

The coefficients are symmetric

Answer

The expansion is only valid for $|x| < 1$

Answer

The sum of the coefficients is always $n$