Question

1
3 5 9 17 33 65
13. Simplify 3/2 + 5/4 + 9/8 + 17/16 + 33/32 + 65/64 - 7.
2 4 8 16
8 16 32
32 64
1
1
(A)
(B)
128
32
1
(C)
64
(D) None​

Answer 1

Answer:

ANSWER

Here,given

a=1

d=4−1=3

and,s

n

=287

Now,

s

n

=

2

n

(2a+(n−1)d)

⇒287=

2

n

(2×1+(n−1)3)

⇒287=

2

n

(2+3n−3)

⇒574=n(3n−1)

⇒574=3n

2

−n

⇒3n

2

−n−574=0

onsolvingthequadraticequaton