Question
The n^th term of a sequence is given by T(n)=n^2+70 How many terms in the sequence are less than 100?
Answer
4.1
(320 Votes)
Callum
Master · Tutor for 5 years
Answer
5
Explanation
This question involves the knowledge of arithmetic sequences. We have a given equation for calculating terms in the sequence, which is \(T(n)=n^{2}+70\). Here, \(T(n)\) represents the nth term of the sequence and n is the term number. To find how many terms of this sequence are less than 100, we need to solve an inequality: \(n^{2}+70