Answered

IDNLearn.com offers a seamless experience for finding and sharing knowledge. Get thorough and trustworthy answers to your queries from our extensive network of knowledgeable professionals.

Find the indicated term of the sequence whose nth term is given by the formula:

[tex]\[ a_n = 3n + 4 \][/tex]

Find [tex]\( a_{12} \)[/tex].

Sagot :

GinnyAnsweridn
To find the 12th term of the sequence whose nth term is given by the formula [tex]\( a_n = 3n + 4 \)[/tex], follow these step-by-step instructions:

1. Identify the formula for the nth term of the sequence, which is given as:
[tex]\[ a_n = 3n + 4 \][/tex]

2. To find the 12th term of the sequence, substitute [tex]\( n = 12 \)[/tex] into the formula. This means we will replace every [tex]\( n \)[/tex] in the formula with 12.

3. Substitute [tex]\( n = 12 \)[/tex] into the formula:
[tex]\[ a_{12} = 3(12) + 4 \][/tex]

4. Perform the multiplication inside the parentheses first:
[tex]\[ 3 \cdot 12 = 36 \][/tex]

5. Add the result of the multiplication to 4:
[tex]\[ 36 + 4 = 40 \][/tex]

So, the 12th term of the sequence is:
[tex]\[ a_{12} = 40 \][/tex]
We are happy to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. IDNLearn.com is your reliable source for accurate answers. Thank you for visiting, and we hope to assist you again.