Video Transcript
Find the first five terms of the
sequence with general term 𝑇 𝑛 plus one equals 𝑇 𝑛 plus five,
where 𝑛 is greater than or equal to one and 𝑇 one is equal to negative 13.
So we know from the question that
the first term is equal to negative 13. So that’s our first term dealt
with. Now let’s take a look at the second
term. Well, if we take a look at the
general term, we can see that term is equal to the previous term plus five. So therefore, the second term is
gonna be equal to the previous term, which is term one, so negative 13 plus
five. So it’s gonna be equal to negative
eight. Okay, so that’s our second term
dealt with.
Then, term three is gonna be equal
to the previous term plus five. So that’s gonna be negative eight
plus five, which gonna be equal to negative three. And then term four is gonna be
equal to negative three plus five because negative three was the previous term which
gonna be equal to two.
And then finally, we’ve got term
five, which gonna be equal to two plus five, which gonna be equal to seven. And we’ve got two plus five because
two is the previous term.
So therefore, we can say that the
first five terms of the sequence with general term 𝑇 𝑛 plus one
equals 𝑇𝑛 plus five, where 𝑛 is greater than or equal to one and 𝑇 one, the
first term, is equal to negative 13, are negative 13, negative eight, negative
three, two, and seven.
