the nth term of a sequence is 25 - 3n a) work out the first three terms of the sequence b) work out the value of the first negative term of the sequence
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22; 19; 16; || -2
Step-by-step explanation:
Tn = 25-3n is your formula. You can use this formula to find every single term in the sequence.
T1 = 25-3(1) = 22
T2 = 25-3(2) = 19
T3 = 25-3(3) = 16
to find the first negative term, we can either count backwards until we get there, or we can use the formula.
Divide 25 by 3 (since it's 25 - 3n, we need to find n where n*3 > 25)
25/3 = 8.333...
8*3=24 which isn't high enough, so we need to round up to n=9
Where n=9, 25-3(9) = -2
Therefore -2 is the first negative term of the sequence
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