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5.50 Sequences and Series
170, ‘The infinite geometric series ! — 6x 411 has a finite sum when x takes a value
other than
@ 3 oa @ 3
a Assertion-Reason Type Questions
Statement-I and Statement-2 and has the foll.
Directions: Each question cont
of which ONLY ONE is correct.
(a) Statement-1 is True, Statement-2 is True; Statement-2 isa correct explanation for Statement-1
(b) Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1
(©) Statement-1 is True, Statement-2 is False
(@) Statement-1 is False, Statement-2 is True
1g choices (a), (b); (c) and (d), out
171, Statement 1
Ifa, b,c are in AP then (b =a)’ = (c =a)?
and
‘Statement 2
Ifa,b,c are in AP then 4(b? = ac) = (c= a)*
172. Statement 1
Ifay ay a, are in APand b,,bb, arein AP
then (a, + 2b,), (a, +26,),(@, + 2b, are in AP
and
‘Statement 2
Ifa, +a, +a, +...arein AP then (a, +k) + (a, +4) + (@, +k) +...are also in AP
173, Statement 1
Ifthe sum ofthe frst n terms of an AP's zero, then a must be <0 and d must be positive.
and
Statement 2
Sum of the first n terms of the APa + (a +d) +(a+2d)+... +fa+(n=1) ais given by 2 Qa (n-1) a.
174, Statement I
Ita, b,c arein AP,
()+e~a),(c+a—b),(a+b—c) are in AP
and
Statement 2
Ifa, ay a,are in AP,
a, tha, + kya, + kwhere k Oare also in AP
175, Statement 1
If3x + 7y +52=45, maximum value of x? y"2° where, x, y,2 are > Ois,
and
Statement 2
If A, G, H denote the AM, GM and HM of two positive numbers, G? = AHL
