Certain arithmetic sequence has the recursive formula an = an-1 + d

Mathematics

1 answer:

Liula [17]3 years ago

4 0

The formula is an = 1+d

You might be interested in

A) Write the sequence of natural numbers which are multiplied by 3 ?

Volgvan

Answer:

a) 3, 6, 9, 12, 15,..., $3\cdot n$ , b) 4, 7, 10, 13, 16,..., $3\cdot n +1$ , c) Both sequences are arithmetic.

Step-by-step explanation:

a) The sequence of natural numbers which are multiplied by 3 are represented by the function $f(n) = 3\cdot n$ , $n\in \mathbb{N}$ . Let see the first five elements of the sequence: 3, 6, 9, 12, 15,...

b) The sequence of natural numbers which are multiplied by 3 and added to 1 is represented by the function $f(n) = 3\cdot n + 1$ , $n\in \mathbb{N}$ . Let see the first five elements of the sequence: 4, 7, 10, 13, 16,...

c) Both sequences since differences between consecutive elements is constant. Let prove this statement:

(i) $f(n) = 3\cdot n$

$\Delta f = f(n+1) -f(n)$

$\Delta f = 3\cdot (n+1) -3\cdot n$

$\Delta f = 3$

(ii) $f(n) = 3\cdot n +1$

$\Delta f = f(n+1)-f(n)$

$\Delta f = [3\cdot (n+1)+1]-(3\cdot n+1)$

$\Delta f = 3$

Both sequences are arithmetic.

8 0

2 years ago

Tomika uses 6/19 inches of wire to make a necklace and 3/13 inches of wire to make a bracelet.

Kay [80]

Answer:

#Answer: 3 Step-by-step explanation: Common sence 8 months ago 3 0 Answer: There are 3 necklace and bracelet sets she can make . Step-by-step explanation: Since we have given that Length of wire she used to make a necklace is given by Length of wire she used to make a bracelet is given by Total length of wire she is used in all is given by Now, we calculate number of necklace and bracelet sets she can make , So, So, there are 3 necklace

7 0

2 years ago

The sale price of a scooter s $850. The original price was first discounted by 25% and then discounted an additional 15%. What w

ira [324]

Answer:

$1,190

Step-by-step explanation:

$850(0.25) = 212.50

$850(0.15) = 127.50

$850+212.50= 1,062.50

1,062.50+127.50= 1,190

5 0