Question

A sequence starts -3, 1, 5, 9, ...

find the value of the 50th term of the
sequence. the equation is t(n)=-7+4n

Answer 1

Explanation:

there is already everything there.

all we need to do is simply setting n = 50 and calculate.

t(50) = -7 + 4×50 = -7 + 200 = 193

Answer 2

Explanation:

The given sequence is an arithmetic sequence with a common difference of 4.

We can use the formula for the nth term of an arithmetic sequence to find the value of the 50th term. The formula for the nth term of an arithmetic sequence is: t(n) = a + d(n - 1) where t(n) is the nth term, a is the first term, d is the common difference, and n is the term number.

In this case, the first term is -3 and the common difference is 4.

Therefore, we can use the formula: t(50) = -3 + 4(50 - 1) t(50) = -3 + 4(49) t(50) = -3 + 196 t(50) = 193

Therefore, the value of the 50th term of the sequence is 193.