Question

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

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.

Answer 1

`11/15`

Explanation:

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`