Question

The nth term of a sequence is 60-8n.find the largest number in this sequence
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Answer 1

52.

Explanation:

1) if the number of term is 'n', then n∈N;

2) for N={1,2,3,4,5,6,7...n};

3) the condition 'the n-th term of a sequence is 60-8n' can be re-written as

aₙ=60-8n and analyzed

4) a₁=60-8*1=52; a₂=60-8*2=44; a₃=60-8*3=36; a₄=60-8*4=28; a₅=60-8*5=20; a₆=60-8*6=12; a₇=60-8*7=4; a₈=60-8*8= -4; a₉=60-8*9= -12; a₁₀= -20, etc., then

5) the larges term of the given sequence is a₁=52.