"act" the 3rd and 4th terms of an arithmetic sequence are 13 and 18 respectively what is the 50th term of the sequence

50th term is 248

Step-by-step explanation:

the formula for nth term of arithmetic sequence is

'a' is the first term and d is the constant difference

n is the  nth term

3rd term of arithmetic sequence is 13

Now we plug in 3 for n  in the formula

--------> equation 1

Given 4th term is 18

The difference between 3rd and 4th term is common difference 'd'

18 - 13 = 5

so d= 5

Now we plug in 5 for 'd' in

13= a+ 10

subtract 10 from both sides

a= 3

We know a=3, d= 5  Lets find 50th term

fabric (square meters)                   cloaks

7                                                           21

4/3                                                         4

step-by-step explanation:

we are told that harry needs 2 square meters of fabric for every 6 wizard cloaks he makes.

1. first of all we will find how many cloaks can be made from 1 square meter of fabric by dividing 6 by 2.

we can see that 3 cloaks can be made from 1 square meter of fabric. now we will multiply 3 by 7 to find number of cloaks made from 7 square meters of fabric.

therefore, harry will make 21 cloaks from 7 square meters of fabric.

2. let us find how many square meters of fabric will be needed to make 4 cloaks.

first of all we will find fabric needed for 1 cloak by dividing 2 by 6.

we can see that fabric needed for 1 cloak is   square meter. now we will multiply   by 4 to find fabric needed for 4 cloaks.