Sequence

[Eklav Rai]

The nth term of a sequence is 4/n²
(a) Write the first three term of the sequence, expressing each term in its simplest form.



(b) The kth term in the sequence is 1/100
Find the value of K


(c) Given that the mth term of the sequence is less than 0.0064 , find the smallest value of m??

[Open Intelligence]

The nth term of a sequence is 4/n²
(a) Write down the first three terms of the sequence, expressing each term in its simplest form.

4/1², 4/2², 4/3², ...
4/1, 4/4, 4/9, ...

4, 1, 4/9, ...


(b) The kth term in the sequence is 1/100
Find the value of k.

4/n² = 1/100

n² = 400

n = 20.


(c) Given that the mth term of the sequence is less than 0.0064 , find the smallest value of m??

4/n² = 64/10000

64n² = 40000

n² = 40000/64

n² = 625

n = 25

Given that the mth term is less than the 25th term, so m = 26.