Sequences and series:
LO: To be able to find the formula for the terms of a sequence
8, 11, 14, 17, …
u1 = first term
u2 = second term…
Term-to-term rule (recurrence
relation – give first term in sequence and the
relationship between successive terms)
General term / nth term
Ignore the signs – Find the nth term.
(-1)n = -1 when n is odd
(-1)n = +1 when n is even
Do the signs of the terms alternate?
If the numbers go up rapidly and are not
obviously being multiplied by the same
number, the nth term could contain a
square or a cube or a quadratic.
13 )1( nn
Look for powers of numbers
nth term is given:
1. Find the first 4 terms
of the sequence.
2. Which term in the
3. Express the
sequence as a
A sequence is defined by a recurrence relation of
Given that M1 = 10, M2 = 20, M3 = 24, find the value
of a and the value of b and hence find M4.
baMM nn 1