Mathematics
Assertion (A) : Sum of 1^st 5 terms of the G.P. : 2/9, 1/3, 1/2, ... is 55/72 . Reason (R) : If for a G.P., the first term is a, the common ratio is r and number of terms = n, then sum of first n terms S^n = a(r^n - 1)/r - 1 for all r. 1. A is true, R is false. 2. A is false, R is true. 3. Both A and R are true. 4. Both A and R are false.
Related Questions
Assertion (A) : Product of 5th term from beginning and 5th term from end of the G.P. : 3 - 6 + 12 - 24 + ….. -384 is -1152.
Reason (R) : In G.P. product of nth term from beginning and nth term from end is 1st term × last term.
A is true, R is false.
A is false, R is true.
Both A and R are true.
Both A and R are false.
Assertion (A) : Points (-5, 1) and (4, 1) are invariant points under reflection in the L. The line L is a line parallel to x-axis at a distance of 1 unit in the positive direction whose equation is x = 1.
Reason (R) : A point P is called an invariant point with respect to a given line L, if its image in the line L is the point P itself.
A is true, R is false.
A is false, R is true.
Both A and R are true.
Both A and R are false.