How many multiples of 5 are there in between 100 and 300?

Solution given:

first term [a]=100

last term[l]=300

common difference [d]=5

second term[b]=100+5=105

now

we have

l=a+(n-1)d

substituting value

300=100+(n-1)5

300-100=(n-1)5

200/5=n-1

40=n-1

n=40+1

there are 41 multiple in between 100 and 300/including it but no including its 41-2=39 multiple

Step-by-step explanation:

Consider AP:

As multiples of 5 between 100 and 300

The first term is 105, the common difference is 5, the last term is 295.

Use the nth term formula:

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.