The 8th term of an arithmetic sequence is 12 and it's 12 th term is 8.

1.	The 8th term of an arithmetic sequence is 12 and it's 12 th term is 8. What is the algebraic expression for this sequence
Answer» ANSWER: -n+20 = 20-n Step-by-step explanation: 8th term = 12 12th term = 8 ↓ ↓ position term common differenc, d = term difference / position difference = 12-8 / 8-12 = 4/-4 = -1 first term,f = 8th term-7d or f = 12th term-11d = 12-(7x-1) = 8-(11x-1) = 12- -7 = 12+7 = 19 = 8+11 = 19 algebraic expression or NTH term = dn+(f-d) = -1n+(19--1) = -n+(19+1) = -n+20 = 20-n

The 8th term of an arithmetic sequence is 12 and it's 12 th term is 8. What is the algebraic expression for this sequence

Answer»

ANSWER:

-n+20 = 20-n

Step-by-step explanation:

8th term = 12

12th term = 8

↓ ↓

position term

common differenc, d = term difference / position difference

= 12-8 / 8-12

= 4/-4

= -1

first term,f = 8th term-7d or f = 12th term-11d

= 12-(7x-1) = 8-(11x-1)

= 12- -7 = 12+7 = 19 = 8+11 = 19

algebraic expression or NTH term = dn+(f-d)

= -1n+(19--1)

= -n+(19+1)

= -n+20 = 20-n

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The 8th term of an arithmetic sequence is 12 and it's 12 th term is 8. What is the algebraic expression for this sequence

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