Find the second, fourth and eleventh terms of sequence described by each rule.
13. A(n)=2+(n-1)(-2.5)
14. A(n)=-9+(n-1)(3)
I need help please, i am bad at mathh
Thank you:)
what about 14?
This is pretty easy. put in what term you want for n...say you want the 11th term, then
13. A(13)=2+(13-1)(-2.5)
A(13)=2+12*(-2.5)
A(13)=2-30=-28 check that
is the answer in order so second ter fourth term than 11th term bobpursely?
No problem, I'm here to help! Let's go step by step to find the second, fourth, and eleventh terms of each sequence.
For the first sequence, given by the rule A(n) = 2 + (n-1)(-2.5).
To find the second term, we substitute n = 2 into the equation:
A(2) = 2 + (2-1)(-2.5) = 2 + 1(-2.5) = 2 - 2.5 = -0.5
So, the second term of the sequence is -0.5
To find the fourth term, we substitute n = 4 into the equation:
A(4) = 2 + (4-1)(-2.5) = 2 + 3(-2.5) = 2 - 7.5 = -5.5
Therefore, the fourth term of the sequence is -5.5.
To find the eleventh term, we substitute n = 11 into the equation:
A(11) = 2 + (11-1)(-2.5) = 2 + 10(-2.5) = 2 - 25 = -23
So, the eleventh term of the sequence is -23.
Moving on to the second sequence, given by the rule A(n) = -9 + (n-1)(3).
To find the second term, we substitute n = 2 into the equation:
A(2) = -9 + (2-1)(3) = -9 + 1(3) = -9 + 3 = -6
The second term of the sequence is -6.
To find the fourth term, we substitute n = 4 into the equation:
A(4) = -9 + (4-1)(3) = -9 + 3(3) = -9 + 9 = 0
Therefore, the fourth term of the sequence is 0.
To find the eleventh term, we substitute n = 11 into the equation:
A(11) = -9 + (11-1)(3) = -9 + 10(3) = -9 + 30 = 21
Hence, the eleventh term of the sequence is 21.
These are the second, fourth, and eleventh terms of the sequences described by the given rules.