contestada

Select the correct answer.
Consider the explicit formula of two sequences.
f(n)
g (n)
Which mathematical statement is correct?
= 2n + 3
3(n-1)
=
f (1) < g (2)
f (10) = g(4)
g (3)
f (3)
g (1) > f (1)

Respuesta :

The correct statement is g (1) > f (1) according to the explicit formula of two sequences.

According to the statement

we have to find that the correct statement with the help of the explicit formula.

So, For this purpose, we know that the

The explicit formula for an arithmetic sequence is an = a + (n - 1)d, and any term of the sequence can be computed, without knowing the other terms of the sequence.

According to the given information:

The functions are 2n + 3 And 3(n-1)

Here F(n) = 2n + 3 and g(n) = 3(n-1)

And according to:

1st statement:

Put n =1 in the F(n) and n = 2 in the G(n)

F(1) = 2(1) + 3 and g(2) = 3(2-1)

F(n) = 2 + 3 and g(n) = 3(1)

F(n) = 5 and g(n) = 3.

This is the incorrect.

And by this way we have to solve all the statements.

Then the correct statement is 4th statement.

So, The correct statement is g (1) > f (1) according to the explicit formula of two sequences.

Learn more about explicit formula here

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