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MathsMediumMCQ2020 ยท 07 Jan Shift 2

Q55.The coefficient of x7 in the expression (1 + x)10 + x(1 + x)9 + x2(1 + x)8+. . . . +x10 , is (1) 210 (2) 330 (3) 120 (4) 420

What This Question Tests

This problem tests the ability to recognize a mixed series, split it into two arithmetic progressions, and calculate their sum to find the total sum.

Concepts Tested

Identifying patterns in seriesSum of an arithmetic progression (AP)Sum of a geometric progression (GP)

Formulas Used

S_n = n/2(2a + (n-1)d)

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