Question

the sum of a series of 5 consecutive odd numbers is 195 the second largest number of the series is 5 less than

Answer 1

CONSIDER AN AP

FIRST TERM OF AP = A

SECOND TERM OF AP = A + 2

THIRD TERM OF AP = A + 4

AND SO ON...

COMMON DIFFERENCE = 2

S = N/2(2A+(N-1)D)

S = 5/2(2A+8)

195 = (10A+40)/2

390 = 10A+40

10A = 350

A = 35

1ST CONSECUTIVE ODD NUMBER = 35

2ND CONSECUTIVE ODD NUMBER = 37

3RD CONSECUTIVE ODD NUMBER = 39

4TH CONSECUTIVE ODD NUMBER = 41

5TH CONSECUTIVE ODD NUMBER = 43

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