f(x) = x² + 2x + 1
f(x + h) = (x + h)² + 2(x + h) + 1
f(x + h) = (x + h)(x + h) + 2(x) + 2(h) + 1
f(x + h) = (x(x + h) + h(x + h)) + 2x + 2h + 1
f(x + h) = (x(x) + x(h) + h(x) + h(h)) + 2x + 2h + 1
f(x + h) = (x² + hx + hx + h²) + 2x + 2h + 1
f(x + h) = (x² + 2hx + h²) + 2x + 2h + 1
f(x + h) = x² + 2x + 2hx + h² + 2h + 1
Answer:
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The answers are:
the first term: 21
the fourth term: 22
the tenth term: 39
<span>A(n) = 12+(n - 1)(3)
n = 1
A(1) = 12 + (1 - 1)(3) = 12 + 0*3 = 12 + 0 = 12
n = 4
</span>A(4) = 12 + (4 - 1)(3) = 12 + 3*3 = 12 + 9 = 21
n = 10
A(10) = 12 + (10 - 1)(3) = 12 + 9*3 = 12 + 27 = 39
Answer:
The answer will be number 3
8.917
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