\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Courses
About
Login
Register
C
⌫
\(\pi\)
e
\(\frac{a}{b}\)
!
←
→
(
)
\(\sqrt{\,}\)
\(a^{b}\)
7
8
9
\(\div\)
log
ln
4
5
6
\(\times\)
cos
cos⁻¹
1
2
3
-
sin
sin⁻¹
0
.
=
+
tan
tan⁻¹
Consider the sequence \( (5,\ 8,\ 11,\ 14,\ 17,\,\ldots) \)
\(u_1-u_0 =\)
7
8
9
+
4
5
6
-
1
2
3
*
C
0
.
÷
\(u_2-u_1 =\)
7
8
9
+
4
5
6
-
1
2
3
*
C
0
.
÷
\(u_3-u_2 =\)
7
8
9
+
4
5
6
-
1
2
3
*
C
0
.
÷
Show that the sequence is arithmetic.
The ratio of consecutive terms is constant.
The difference between consecutive terms is constant.
What is its recursive rule?
\(u_{n+1}=\)
\(\pi\)
\(e\)
\(x\)
\(n\)
\(u_n\)
\(f\)
\(\frac{a}{b}\)
\(\sqrt{\,}\)
\({a}^{b}\)
\(\ln{\,}\)
\(\log{\,}\)
!
7
8
9
←
→
\(\sin{\,}\)
4
5
6
(
)
\(\cos{\,}\)
1
2
3
\(\times\)
\(\div\)
\(\tan{\,}\)
C
0
.
+
-
=
What is its explicit rule?
\(u_{n}=\)
\(\pi\)
\(e\)
\(x\)
\(n\)
\(u_n\)
\(f\)
\(\frac{a}{b}\)
\(\sqrt{\,}\)
\({a}^{b}\)
\(\ln{\,}\)
\(\log{\,}\)
!
7
8
9
←
→
\(\sin{\,}\)
4
5
6
(
)
\(\cos{\,}\)
1
2
3
\(\times\)
\(\div\)
\(\tan{\,}\)
C
0
.
+
-
=
Find the 50th term of the sequence.
\(u_{50}=\)
7
8
9
+
4
5
6
-
1
2
3
*
C
0
.
÷
Exit