Question

Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.
A(n)=1+(n-1)(-4.1)
a.)-4.1, -15.4, -36.9
b.)1, -15.4, -40
c.) 1, -11.3, -39.5
d.) 0, -12.3, -36.9

I'm not entirely sure how to do this, help?

Answer 1

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@Nnesha

Answer 2

okay so equation for arithmetic is \[\huge\rm a_n = a_1 + (n-1)d\]
a1 is a first term
d is common difference
and n is next term (the term you have to find ) so replace n by 4 and then by 10 to find terms

Answer 3

so what is first term ??

Answer 4

I'm still not entirely sure. I may just be looking at the equation I have wrong in comparison to yours though so give me a few minutes c:

Answer 5

okay equation is not different
that is formula to find terms
but in your equation there is already values of d(common difference) and a1(first term )

Answer 6

wait so the first term is already there which is 1 so that would make it either b or c, right?

Answer 7

yep!!! :)

Answer 8

you need 4th and 10th term so replace \[\huge\rm a_n = 1 + ( n-1) (-4.1)\] n by 4 and solve then replace by 10 then sovle

Answer 9

would fourth term be -11.3?

Answer 10

yep right :)

Answer 11

Thank you so much! ^^

Answer 12

my pleasure :)