Question

Find the 55th term of the arithmetic sequence -7, -5, -3, ...

Answer 1

Answer:

n term of ap = a + ( n-1 ) d

Step-by-step explanation:

n= -7 +(55-1)*d

we know that d = 2 so,

-7+54*2=n

-7+108=n

so

55th term is = 108-7=101

Answer 2

Given,

a1 = -7

a2 = -5

a3 = -3

To Find,

55th term of AP = ?

Solution,

We know from the formula of the nth term in AP that $a_n = a +(n-1)d$

55th term of AP = $a_{55} = a + (55-1)d$

55th term of AP = $a_{55} = a + 54d$

Common difference(d) = $a_2 -a_1$

Common difference(d) =  -5 - (-7) = -5 + 7

d = 2

Putting values of a and d in the equation, we get

$a_{55} = (-7) + (54)d$

$a_{55} = -7 + 54*2$

$a_{55} = 108 - 7$

$a_{55} =101$

Hence,  the 55th term of the arithmetic sequence -7, -5, -3, ... is 101.