Pre UPS2 AM015

1. The 12^th term and 17^th of an arithmetic sequence are 38 and 53 respectively. Find the 39^th term.

Given that the 21^st term of an arithmetic sequence is 77 and the sum of the first 21 terms is 777. Find the the sum of the first 100 terms

The sum of the first n term of an arithmetic sequence is 

 $S_n=\frac{n}{2}\left(4n+20\right)$  . Find the common difference of the sequence.

What is the sum of the first ten terms of the sequence 4, -12, 36, -144 . . . ?

The 1st term of a geometric sequence is 3 and the eighth term is 384. Find the common ratio of the sequence

Find the number of terms (n) in the geometric sequence

6, 12, 24, ..., 1536.

Find the values of w, x, y and z

• w = 13, x = 4, y = 7, z = 23

• w = 13, x = -4, y = 11, z = 23

• w = 13, x = 4, y = 11, z = 23

• w = 13, x = 4, y = 11, z = 17

What is the determinant of this matrix?

Evaluate the determinant of the matrix.