Question

which term of the A.P.7/4,3/4,-1/4,.......is 337/2?​

Answer 1

Answer:

-1

Step-by-step explanation:

-4/4 is the term of the A.P. 7/4,3/4,-1/4,.......is 337/2

Answer 2

$\huge\bold{\gray{\sf{Answer:}}}$

Explanation:

Let the 'nth term of the A.P is 337/2

Formula for nth term

$\bold{\boxed{\purple{an = a + (n - 1)d}}}$

Here , first term a=7/4

ㅤㅤㅤㅤㅤㅤㅤㅤa2=3/4

ㅤㅤㅤㅤㅤㅤD=A2-a1=3/4-7/4

ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ=-4/4=-1

$an = a + (n - 1)d$

$= > \frac{337}{2} = \frac{7}{4} + (n - 1) - 1$

$= > \frac{337}{2} = \frac{7}{4} - n + 1$

$= > \frac{337}{4} - \frac{7}{4} = - n + 1$

$= > \frac{337 \times 2 - 7}{4} = - n + 1$

$= > \frac{674 - 7}{4} = - n + 1$

$= > \frac{667}{4} = - n + 1$

$= > \frac{667}{4} - 1 = - n$

$= > \frac{663}{4} = - n$

$\bold{= > n = - \frac{663}{4}}$