Find the smallest number of terms which may be taken in order that the sum of the arithmetical series 325+350+375+may exceed 10000

19

Step-by-step explanation:

Since we can't have a negative number of terms,

n = -43.4 is an extraneous solution

--> n = 18.4 is the only valid solution

In order to EXCEED 10000, n must be GREATER THAN 18.4

The first integer greater than 18.4 is ....

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.