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The function f(x) is defined as f(x+1) = f(x) + 5

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Joined: 26 Feb 2016
Posts: 3340
Location: India
GPA: 3.12
The function f(x) is defined as f(x+1) = f(x) + 5  [#permalink]

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05 Feb 2019, 23:40
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Difficulty:

35% (medium)

Question Stats:

50% (01:49) correct 50% (02:52) wrong based on 8 sessions

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The function f(x) is defined as f(x+1) = f(x) + 5. If f(0) = 37, what is the sum of f(3) + f(4) +.... f(10)?

A. 476
B. 516
C. 556
D. 596
E. 636

Source: Experts Global

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Joined: 18 Jul 2018
Posts: 675
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Re: The function f(x) is defined as f(x+1) = f(x) + 5  [#permalink]

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06 Feb 2019, 00:24
f(x+1) = f(x)+5
put x = 0, then
f(1) = f(0)+5
f(1) = 42
Similarly f(2) = 42+5 = 47; f(3) = 47+5 = 52.
Its an AP series, with a as 52 and d as 5.
n = 8.
$$S_8 = \frac{n}{2}[2a+(n-1)d]$$
$$S_8 = 4[104+35]$$
$$S_8 = 4*139 = 556$$

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Re: The function f(x) is defined as f(x+1) = f(x) + 5   [#permalink] 06 Feb 2019, 00:24
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