Answer:
see explanation
Explanation:
To find the first 4 terms, substitute n = 1, 2, 3, 4 into the sequence rule.
For the 10 th term substitute n = 10 into the sequence rule
(a)
n = 1 → 1² + 3 = 1 + 3 = 4
n = 2 → 2² + 3 = 4 + 3 = 7
n = 3 → 3² + 3 = 9 + 3 = 12
n= 4 → 4² + 3 = 16 + 3 = 19
n = 10 → 10² + 3 = 100 + 3 = 103
Thus the first 4 terms are 4, 7, 12, 19 and term 10 is 103
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(b)
n = 1 → 2 × 1² = 2 × 1 = 2
n = 2 → 2 × 2² = 2 × 4 = 8
n = 3 → 2 × 3² = 2 × 9 = 18
n = 4 → 2 × 4² = 2 × 16 = 32
n = 10 → 2 × 10² = 2 × 100 = 200
Thus the first 4 terms are 2, 8, 18, 32 and term 10 is 200