Arithmetic. Sequence Activity1.

Activity Question 1

The first 3 terms of a sequence are, determine 3𝑝 − 4 ; 4𝑝 − 3 ; 7𝑝 − 6

1. Determine:
   1. The value of 𝑝
   1. The first three terms of the sequence
   1. The value of the 16th term
   1. The general term Question 2

Determine which term of the arithmetic sequence 2.1          3 ; 5 ; 7 ;…………. s equal to 27

2.2          13 ; 10 ; 7 ;……………. s equal to −44

Question 3

Determine the first three terms of the arithmetic sequence of which:

• the 10th term is 31 and the 15th term is 46
  • the 7th term is 3 and the 12th term is −3 Question 4

The 3rd and the 4th term of an arithmetic progression are 12 and −24 respectively Determine the 50th term.

Question 5

How many terms are in the sequence 3 ; 7 ; 11 ;…………. ; 483

Question 6

If 𝑥 + 2 ; 3𝑥 − 1 and 4𝑥 − 3 are the first three terms of an arithmetic sequence, Determine;

1. The value of 𝑥
   1. Determine the 𝑛^𝑡ℎ term of the sequence
   1. If the 𝑛^𝑡ℎ term is −41, calculate 𝑛
   1. Calculate the 20th term.