Sumali sa IDNStudy.com at makuha ang mga sagot ng eksperto. Hanapin ang mga solusyong kailangan mo nang mabilis at tiyak sa tulong ng aming mga bihasang miyembro.

first five terms in the nth term in given an=3n³-1​

Sagot :

Answer:

To find the first five terms of the sequence defined by \(a_n = 3n^3 - 1\), we substitute \(n = 1, 2, 3, 4, 5\) into the formula and calculate the corresponding values.

1. When \( n = 1 \):

\( a_1 = 3(1)^3 - 1 = 3(1) - 1 = 3 - 1 = 2 \)

2. When \( n = 2 \):

\( a_2 = 3(2)^3 - 1 = 3(8) - 1 = 24 - 1 = 23 \)

3. When \( n = 3 \):

\( a_3 = 3(3)^3 - 1 = 3(27) - 1 = 81 - 1 = 80 \)

4. When \( n = 4 \):

\( a_4 = 3(4)^3 - 1 = 3(64) - 1 = 192 - 1 = 191 \)

5. When \( n = 5 \):

\( a_5 = 3(5)^3 - 1 = 3(125) - 1 = 375 - 1 = 374 \)

Therefore, the first five terms of the sequence \(a_n = 3n^3 - 1\) are:

\( 2, 23, 80, 191, 374 \).

Step-by-step explanation:

after drawing regular polygons, challenge students to draw irregular polygons with the same number of sides

View image Sheannealler422