Answer:
The difference between the picture is 0 , option A .
Step-by-step explanation:
Given two figures as :
In figure A
The expression is 1 + 3 n , where n lies from 0 to 4
So , let f (n) = 1 + 3 n
Or,f ( n ) = 1 + 3 ×0 = 1 + 0 = 1
f ( 1 ) = 1 + 3 ×1 = 1+ 3 = 4
f ( 2 ) = 1 + 3 ×2 = 1+ 6 = 7
f ( 3 ) = 1 + 3 ×3 = 1+ 9 = 10
f ( 4 ) = 1 + 3 ×4 = 1+ 12 = 13
so, summation of ( 1 + 3 n ) from n = 0 to 4 = 1 + 4 + 7 + 10 + 13 = 35
In figure B
The expression is 3 i - 5 , where i lies from 2 to 6
So , let g (i) = 3 i - 5
Or,g ( 2 ) = 3 ×2 - 5 = 6 - 5 = 1
g ( 3 ) = 3 ×3 - 5 = 9 - 5 = 4
g ( 4 ) = 3 ×4 - 5 = 12 - 5 = 7
f ( 5 ) = 3 ×5 - 5 = 15 - 5 = 10
f ( 6 ) = 3 ×6 - 5 = 18 - 5 = 13
so, summation of ( 3 i - 5 ) from i = 2 to 6 = 1 + 4 + 7 + 10 + 13 = 35
So, The difference between the summation of functions f(n) - g(i) is
f(n) - g(i) = 35 - 35
I.e f(n) - g(i) = 0
Hence The difference between the picture is 0 , option A . Answer
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