Question 8/10> NEXT8.The first term of an arithmetic sequence is 5. The third term of the sequence is 13.Which of the following expressions represents the nth term of the sequence?A 4n +1B 4n + 5C5n +1D 5n + 5

Name: Question 8/10> NEXT8.The first term of an arithmetic sequence is 5. T
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Description: Question 8/10> NEXT8.The first term of an arithmetic sequence is 5. The third term of the sequence is 13.Which of the following expressions represents the nth term of the sequence?A 4n +1B 4n + 5C5n +1D 5n + 5

Answered: The first term of an arithmetic…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter7: Exponents And Exponential Functions

Section7.9: Geometric Sequences As Exponential Functions

Problem 35PPS

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$G i v e n, F i r s t t e r m o f A P = a = 5 T h i r d t e r m o f A P = 13 L e t, S e c o n d t e r m o f A P = x W e c a n w r i t e A P a s - 5, x, 13 . . . . . . . . . . . . . . . . . . . . . . . . . . . . N o w a c c o r d i n g t o t h e d e f i n i t i o n o f A P, t h e d i f f e r e n c e b e t w e e n t h e t w o a d j a c e n t n u m b e r i s c o n s \tan t, t h a t i s w e o b s e r v e a c o m m o n d i f f e r e n c e . S o, x - 5 = 13 - x x + x = 13 + 5 2 x = 18 x = 9 S o, S e c o n d t e r m o f A P = 9 C o m m o n d i f f e r e n c e = d = 9 - 5 = 4$

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