In an arithmetic sequence, the nth term an is given by the formula an=a1+(n−1)d, where a1
is the first term and d is the common difference. similarly, in a geometric sequence, the nth term is given by an=a1•rn−1.
here r is the common ratio. use these formulas to determine the indicated term in the given sequence.
the 30th term of 1, 4, 7, 10

88

Step-by-step explanation:

We are given that in arithmetic sequence , the nth term is given by the formula

Where

d=Common difference

In an geometric sequence, the nth term is given by

Where r= Common ratio

1,4,7,10,..

We have to find 30th term.

Therefore, given sequence is an arithmetic sequence because the difference between consecutive terms is constant.

Substitute n=30 , d=3 a=1 in the given formula of arithmetic sequence

Then, we get

Hence, the 30th term of sequence is 88.

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc