Find the 30th term of an arithmetic sequence whose first term is 2 and common difference is 5.

Mathematics

2 answers:

Veronika [31]3 years ago

3 0

2 + 29 times 5 = 147

Alina [70]3 years ago

3 0

First, create a formula for the arithmetic sequence.
a(n) = a(1) + d(n - 1)
a(n) = 2 + 5(n - 1)
a(30) = 2 + 5(29)
a(30) = 2 + 145
a(30) = 147

Hope that helps!

You might be interested in

What is the relationship between A: Vertical angles B: Complementary angles C: Supplementary angles D: None of th

NNADVOKAT [17]

Answer:

B. Complementary Angles

Step-by-step explanation:

They both make up 90 degree angle.

3 0

3 years ago

A digital camera costs $185 and the sales tax rate is 5.7%. What is the total cost of the camera after tax

Dovator [93]

♥ To solve find how much this will cost AFTER the price increases.
♥ Solve:
Multiply the original price as it is by: 1.057 (5.7 as a decimal would be 0.057, but as i said to keep the original price, the 1 will keep it there.)
 $185 * 1.057 = $195.545$
Final answer: $195.54

7 0

3 years ago

Please help me thank you. show all work.

seraphim [82]

The length of OM is 4/3 the length of OJ, and the length of ON is 4/3 the length of OK. Thus, two pairs of sides from the triangles are proportional to each other.

Also, angle O from one of the triangles is equal to angle O of the other triangle because they are the same angle.

Thus, the two triangles are similar by SAS (side-angle-side) similarity theorem. This theorem is quite similar to the SAS congruence theorem.

To make a similarity statement, we just have to match corresponding parts when naming the triangle.

Similarity statement: ΔOJK~ΔOMN

3 0

3 years ago

If t varies as v, and t = 2 4/7 when v =13/14 , find v when t = 2 1/4.

dezoksy [38]

6 3/13 is the answer!

8 0

3 years ago

Amy jogs 1/3 of a mile in 1/15 of an hour, while john takes 1/30 of an hour to jog 1/5 of a mile. If they continue at this rate,

jolli1 [7]

Step-by-step explanation:

Given that,

Amy jogs 1/3 of a mile in 1/15 of an hour and john takes 1/30 of an hour to jog 1/5 of a mile.