What is the common difference of the sequence below?
2 answers:
Answer:
3
Step-by-step explanation:
Givens
Start by looking at the 'distance' (number of spaces) between 1 and 10
a = 1
l = 10
n of terms = 4
L_4 = 10
a = 1
Equation
L_4 = a + (n - 1)*d
10 = 1 + (4 - 1)*d
10 - 1 = 3d
9 = 3d
9/3 = d
d = 3
So the terms you get from 1 to 10
1 4 7 10
Discussion
But we actually started at 1, not -11. Let's fill in the 3 blanks leading up to 1
-11 ____ ____ ____ 1
a = - 11
t = 5
L= 1
1 = - 11 + (5 - 1) d
1 = -11 + 4d Add 11
1+ 11 = 4d
12 = 4d
12/4 = d
d = 3
======================
Could we have done this more directly. Yes, we could have
a = - 11
t = 8 There are 8 terms in all.
L_8 = 10
L_9 = a + (n-1)d
10 = - 11 + (8-1)d
10+11 = 7d
21 = 7d
21/7 = d
d = 3
Answer:
Step-by-step explanation:
In finding the COMMON DIFFERENCE, subtract the 2nd term and the first term.
a1 = -4
a2 = -2
Let "d" representing the COMMON DIFFERENCE.
d = -2 -(-4)
d = -2 + 4
d = 2
ANSWER:
THE COMMON DIFFERENCE OF THIS SEQUENCE IS 2
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