Question

how many terms are there in ap32,34,34...40​

Answer 1

Given:-

• a = 32.
• d = 34-32 = 2
• $a_{n}$ = 40

To find:-

• no. of terms (n)

formula to be used:-

$\underline{\boxed{\sf a_{n} = a+(n-1)d}}$

Solution:-

$\longrightarrow$ $a_{n}$ = a+(n-1)d

$\longrightarrow$ 40 = 32+(n-1)2

$\longrightarrow$ 8 = (n-1)2

$\longrightarrow$ $\sf\dfrac{8}{2}$ = n-1

$\longrightarrow$ 4+1 = n

$\longrightarrow$ ${\boxed{\sf n = 5}}$

hence, there are 5 terms