ARITHMETIC SEQUENCES The first and ninth terms of an arithmetic sequence are #2/3# and #4/5#, respectively. What is the fifth term?

Question

Please help ASAP(as soon as possible).
Arithmetic Sequence Formula:
#a# sub #n=a# sub #1 + (n-1)d#

Breakdown:

a sub n - term you are looking for
a sub 1 - first term in sequence (sorry idk how to format these two properly)
n - the term you are looking for (ex: are you trying to find the second term, third, sixtieth, etc.)
d - common difference.

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Answer 1 · 2018-07-02T13:15:56

#11/15#

Let #d# be the common difference of given AP with first term #a=2/3# then ninth term #(n=9)# of series

#\text{9th term}=a+(9-1)d#

#4/5=2/3+8d#

#d=1/60#

then the fifth term of given AP

#=a+(5-1)d#

#=2/3+4(1/60)#

#=11/15#