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.

2145 views around the world

You can reuse this answer
Creative Commons License

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

$=a+(5-1)d$

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

$=11/15$