muddasani5566
contestada

Let f(x) be defined for any positive integer x greater than 2 as the sum of all prime numbers less than x. For example, f(4)=2+3=5 and f(8)=2+3+5+7=17. What is the value of f(86)−f(82)?
(A) 3 (B) 4 (C) 47 (D) 59 (E) 83

The answer is not B pls remember this

Respuesta :

Answer:

E

Step-by-step explanation:

RSM proves correct

boffeemadrid

The value of a given function is required.

So, the answer is (E)83.

The given function [tex]f(x)[/tex] is the sum of all prime numbers less than [tex]x[/tex].

The required function is [tex]f(86)-f(82)[/tex]

[tex]f(86)=2+3+5+7+11+13+17+19+23+29+31+37+41+43+47+53+59+61+67+71+73+79+83[/tex]

[tex]f(83)=2+3+5+7+11+13+17+19+23+29+31+37+41+43+47+53+59+61+67+71+73+79[/tex]

[tex]f(86)-f(83)=2+3+5+7+11+13+17+19+23+29+31+37+41+43+47+53+59+61+67+71+73+79+83-(2+3+5+7+11+13+17+19+23+29+31+37+41+43+47+53+59+61+67+71+73+79)=83[/tex]

All numbers become get subtracted except for 83.

So, the answer is (E)83.

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