Answer:
Explanation:
Sequence (a),
Recursive formula of given sequence has been given as,
T(n) = 12 - n
First 4 terms of the sequence will be,
T(1) = 12 - 1 = 11
T(2) = 12 - 2 = 10
T(3) = 12 - 3 = 9
T(4) = 12 - 4 = 8
And 10th term of the sequence will be,
T(10) = 12 - 10 = 2
Sequence (b),
Recursive formula is,
T(n) = 5 - 2n
T(1) = 5 - 2 = 3
T(2) = 5 - 4 = 1
T(3) = 5 - 6 = -1
T(4) = 5 - 8 = -3
T(10) = 5 - 20 = -15
Sequence (c),
Recursive formula is,
T(n) = n² + 3
T(1) = 4
T(2) = 7
T(3) = 12
T(4) = 19
T(10) = 103
Sequence (d),
Recursive formula,
T(n) = 2n²
T(1) = 2
T(2) = 8
T(3) = 18
T(4) = 32
T(10) = 200