Question

The 11th term of AP 10, 10.5, 11, 11.5 is

Answer 1

Answer:

The answer is 15

it's in the attachment ✌️✌️✌️

Answer 2

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{11th\:term=15}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Given :}} \\ \tt: \implies A.P= 10,10.5,11,11.5 \\ \\ \red{\underline \bold{To \: Find :}} \\ \tt: \implies 11th \: term = ?$

• According to given question :

$\tt \circ \: First \: term =10 \\ \\ \tt \circ \: Common \: difference = 0.5 \\ \\ \tt \circ \: n = 11 \\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies a_{n} = a + (n - 1)d \\ \\ \tt: \implies a_{11} =10 + (11- 1) \times 0.5 \\ \\ \tt: \implies a_{11} =10 + 10 \times 0.5 \\ \\ \tt: \implies a_{11} =10 +5\\ \\ \green{\tt: \implies a_{11} =15} \\ \\ \green{\tt \therefore 11th \: term \: is \: 15}$