According to Newton-Raphson method, the value of . upto three places of decimal will be
3.463
3.462
3.467
None of these
If for all x, y N, there exists a function f(x) satisfying f(x + y) = f(x) · f(y) such that f(1) = 3 and , then value of n will be
4
5
6
None of these
In the sequence, (1, 2, 3), (4, 5, 6), (7, 8, 9, 10)... of sets, the sum of elements in the 50th set is
62525
65225
56255
55765
A.
62525
First term of each sets are 1, 2, 4, 7, ...
Let S = 1 + 2 + 4 + 7 + ... + Tn
S = 1 + 2 + 4 + Tn
On subtracting, we get
0 = 1 + 1 + 2 + 3 + ... - Tn
Tn = 1 + (1 + 2 + 3 + ... (n - 1)terms
First term of 50th set is 1226, therefore series is 1226, 1227, ...50 terms
If f : are defined by f(x) = 2x + 3 and g(x) = x2 + 7, then the values of x such that g(x) = x2 + 7, then values ofx such that g(f(x)) = 8 are
1, 2
- 1, 2
- 1, - 2
1, - 2