Find The Dimensions Of The Rectangular Box With Largest Volume If The Total Surface Area Is Given As
The first five terms of each sequence can be written from the nth term of the sequence and the type of sequence are, arithmetic, geometric, geometric, geometric, and geometric respectively.
How to solve this?
It is given that:
The sequences are:
1. a(1) = 7, a(n) = a(n – 1) – 3 for n > 2.
Plug n = 2 in the a(n)
a(2) = a(2 – 1) – 3
a(2) = a(1) – 3
a(2) = 7 – 3
a(2) = 4
lug n = 3
a(3) = 1
The first five terms are:
7, 4, 1, -2, -5 (arithmetic sequence)
2. b(1) = 2, b(n) = 2[b(n – 1) – 1] for n > 2.
Similarly,
The first five terms are:
2, 2, 2, 2, 2 (geometric sequence)
3. c(1) = 3. c(n) = 10 • c(n – 1) for n > 2.
The first five terms are:
3, 30, 300, 3000, 30000 (geometric sequence)
4. d(1) = 1, d(n) = n • d(n – 1) for n > 2.
1, 2, 6, 24, 48 (geometric sequence)
Thus, the first five terms of each sequence can be written from the nth term of the sequence and the type of sequence are, arithmetic, geometric, geometric, geometric, and geometric respectively.
Read more about geometric progression here:
#SPJ1
Write the first five terms of each sequence. Determine whether each sequence is arithmetic, geometric, or other.
1. a(1) = 7, a(n) = a(n – 1) – 3 for n > 2.
2. b(1) = 2, b(n) = 2 • b(n – 1) – 1 for n > 2.
3. c(1) = 3. c(n) = 10 • c(n – 1) for n > 2.
4. d(1) = 1, d(n) = n • d(n – 1) for n > 2.
Read more here: Source link