Find the values of t6 and d for the arithmetic sequence with t6= 4 and t10= -4
2 answers:
Answer:
t1 = 14 d= -2
Step-by-step explanation:
tn = t1 + d ( n-1)
t6 = t1 + d(6-1)
4 = t1+ 5d
t10 = t1 +d (10-1)
-4 = t1 +d9
Take the two equations and subtract to eliminate a1
4 = t1+ 5d
- (-4 = t1 +d9)
-------------------------
4 = t1+ 5d
+4 =- t1 -d9
-------------------------
8 = -4d
Divide each side by -4
8/-4 = -4d/-4
-2 =d
Now we can find t1
4 = t1+ 5d
4 = t1 + 5(-2)
4 = t1 -10
Add 10 to each side
4+10 = t1
14 = t1
Answer:
A
Step-by-step explanation:
t1 = a
tn = a + (n-1)d
t6 = a + 5d = 4
a = 4 - 5d
t10 = a + 9d = -4
4 - 5d + 9d = -4
-8 = 4d
d = -2
a = 4 - 5(-2)
= 4 + 10
= 14
You might be interested in
Answer:
Well there aren't any options but a number line pointing right with the circle being empty (For example, ○) on the point -2.
Answer:
x=−1 and y=−5
Step-by-step explanation:
hope this helps
Answer:
True
Step-by-step explanation:
In similarity triangles, corresponding angles are congruent and corresponding sides are in proportion.
Answer:
ok where are you from which country
