Ask a New Question

Question

Write a rule for the n th term of the arithmetic sequence.

a_{12}=9,a_{27}=15

3 years ago

Answers

mathhelper
term(12) = 9 ----> a + 11d = 9
term(27) = 15 ---> a + 26d = 15
subtract them:
15d = 6
d = 6/15 = 2/5

sub into a + 11d = 9
a = 9 - 22/5 = 23/5

term(n) = a + (n-1)(d) = 23/5 + (n-1)(2/5)
= 23/5 + (2/5)n - 2/5
= (2/5)n + 21/5
= (2n + 21)/5

check:
term(12) = (24 + 21)/5 = 9
term(27) = (54 + 21)/5 = 15

my rule or formula for the nth term is correct
3 years ago

Related Questions

Find a rule. Write the rule as an equation. Input X 12, 47, 9 Output Y 32, 67, 29 Rule:_________... write a rule for nth term: 1/10, 3/20, 5/30, 7/40,.... i think the next term is 9/50 but i d... Write a rule for thenth term for the following sequence: 2/3, 4/4, 6/5, 8/6, ... I know the ne... Write a rule for the nth term of the arithmatic sequence. Then find a10. 1. -4,2,8,14,20 2. -25,-... Write a rule for the nth term of the arithmetic sequence. ( I'm not sure how I'm suppose to write th... Write a rule for the nth term of the geometric sequence. Then find a7. 1. 7, -4.2, 2.52, -1.512,... Write a rule for the nth term of the arithmetic sequence. -12, -5, 2, 9 What is the nth term rule of the linear sequence below? 27,25,23,21,19 Write a rule for the nth term of the sequence. Use your rule to find a70. –10, –8, –6, –4, –2, . .... Write the nth term rule applicable in the Givin sequence and solve for the missing terms asked
Ask a New Question
Archives Contact Us Privacy Policy Terms of Use