The 16th term of an a. p. is 40 and the sum of the first 5 terms is 5. find the sum of the first 50 terms.

Step-by-step explanation:

We have been that the 16th term of an A.P. is 40 and the sum of the first 5 terms is 5.  

We will use arithmetic sequence formula and arithmetic sequence sum formula to solve our given problem.

Sequence formula:

, where,

n = Number of terms in a sequence,

d = Common difference.

Sum formula:

Now, we have two unknown and two equations. From equation (1), we will get:

Substitute this value in equation (2).

Substitute in equation (1):

Use sum formula to find sum of first 50 terms:

Therefore, the sum of first 50 terms of the given sequence would be 3425.

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x