What is the nth term of 4 7 12 19 28
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What is the nth term of 4 7 12 19 28
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Which of the following would be considered like terms with -12a2?
6
Step by step
2
well one way to do it is to add:
3 to the first term
5 to the second
7 to the third
9 to the next
we are starting with a1=4, that is the first term and have a
sequence where the we add 2n-1 to the n-1 term.
a_n = a_n-1+2n+1 so a_2=4+(2×2-1)=7 a_3=7+(2×3-1)=12
a_4=12+(2×4-1)=19 a_5 is obtained by taking a sub 4, and add
(2×5-1) or 19+9=28
a_n means a sub n, where n is the subscript, or course.
So the nth term is a_n=a_n1+(2n-1)…
—
wrong, considering:
1st term; 1 + 3 = 4
2nd term; 2 + 5 = 7
3rd term; 3 + 7 = not 12 :’)
correctly mentioned though, there ARE other ways of doing
this!
take the example of the first term, n=1. square that number,
then add 3.
what do you get? 1*1 = 1, 1+3 = 4 (correct)
now try it with others:
2*2 = 4, 4 + 3 = 7
3*3 = 9, 9 + 3 = 12
4*4 = 16, 16 + 3 = 19
5*5 = 25, 25 + 3 = 28
TA-DA! ;D
therefore, the simple answer = n^2+3 (N squared plus three)
– from Adam –