Find the next two terms in the given sequence, then write it in recursive form. A.) {7,12,17,22,27,...} B.) { 3,7,15,31,63,...}
iren [92.7K]
Answer:
A) a_n = 5n + 2
B) a_n = (2^(n + 1)) - 1
Step-by-step explanation:
A) The sequence is given as;
{7,12,17,22,27,...}
The differences are:
5,5,5,5.
This is an arithmetic sequence following the formula;
a_n = a_1 + (n - 1)d
d is 5
Thus;
a_n = a_1 + (n - 1)5
Now, a_1 = 7. Thus;
a_n = 7 + 5n - 5
a_n = 5n + 2
B) The sequence is given as;
{ 3,7,15,31,63,...}
Now, let's write out the differences of this sequence:
Differences are:
4, 8, 16, 32
This shows that it is a geometric sequence with a common ratio of 2.
In the given sequence, a_1 = 3 and a_2 = 7 and a_3 = 15
Thus, a_2 = 2a_1 + 1
Also, a_(2 + 1) = 2a_2 + 1
Combining both equations, we can deduce that: a_(n + 1) = 2a_n + 1
Thus; a_n can be expressed as:
a_n = (2^(n + 1)) - 1
Answer:
y=2x-2
Step-by-step explanation:
2x-y=2
+y +y 1)add y to both sides
2x=y+2
-2 -2 2) Substract 2 from both sides
2x-2=y
y=2x-2 3) Use the Refelxive POE to flip the sides
Answer:
itb would be 60
Step-by-step explanation:
thata my answer
Answer:
0.91
Step-by-step explanation:
1 - P(both left handed)
1 - 0.3² = 0.91
Answer:
(4,8)
Step-by-step explanation:
4 + 8 = 12
3(4) + 8(8)
= 12 + 64
= 76
