the nth term of a sequence is given by an²+bn where a and b are integers the 2nd term of the sequence is 2 4th term of the seque nce is 20. find the 6th term of the sequence
2 answers:
Answer:
54
Step-by-step explanation:
Tn = an²+bn
T2 = a2²+2b
2 = 4a +2b
Multiply all through by 2
4 = 8a +4b
4b = 4-8a
T4 = a4² + 4b
20 = 16a +4b
4b = 20-16a
4-8a = 20-16a
16a -8a = 20-4
8a = 16
a = 16/8 = 2
4b = 4-8a = 4-8(2) = 4-16 = -12
b = -12/4 = -3
T6 = a6² + 6b
T6 = 2(36) + 6(-3) = 72 -18 = 54
Answer:
54
Step-by-step explanation:
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[3 * (2 + 4)] - 4
Solve inside the brackets first. Solve the parentheses inside the brackets, (2 + 4). [3 * (6)] - 4
18 - 4
18 - 4 = 14, so your answer is: <h3>14</h3>