Question

Find the 14th term from the end of the Arithmetic Progression
11,18,25,.......,221.​

Answer 1

Answer:

=>130

Step-by-step explanation:

See The Attachment My Friend....

Answer 2

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

$\green{\tt{\therefore{14th\:term\:from\:the\:end=130}}}$

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

$\green{\underline \bold{Given :}} \\ \tt: \implies A.P= 11,18,25,....,221 \\ \\ \red{\underline \bold{To \: Find :}} \\ \tt: \implies 14th \: term \: form \: the \: end = ?$

• According to given question :

$\tt \circ \: First \: term = 221 \\ \\ \tt \circ \: Common \: difference = -7\\ \\ \tt \circ \: n = 14 \\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies a_{n} = a + (n - 1)d \\ \\ \tt: \implies a_{14} = 221+ (14 - 1) \times - 7\\ \\ \tt: \implies a_{14} =221+ 13 \times - 7 \\ \\ \tt: \implies a_{14} =221- 91 \\ \\ \green{\tt: \implies a_{14} =130} \\ \\ \green{\tt \therefore 14th \: term \: from \: the \: end \: is \: 130}$