Question

The 11th term of an AP is 38 and 16th term is 73 . Find its 31st term​

Answer 1

try to understand. happy holi

Answer 2

${\blue{\huge{HEY}}}$

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${\boxed{\boxed{\red{ANSWER}}}}$

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$a11 = 38 \\ a16 = 73$

$a11 = a + 10d \\ a16 = a + 15d$

$a + 15d = 73 \\ a + 11d = 38$

SOLVING THE TWO EQUATIONS

$15d - 10d = 73 - 38 \\ 5d = 35 \\ d = 7$

$\boxed{d=7}$

FINDING a,

$a + 7</strong><strong>0</strong><strong> = 38 \\ a = 38 - 7</strong><strong>0</strong><strong> \\ a = - 3</strong><strong>2</strong><strong>$

$\boxed{a=-32}$

31st term is a+30d

$a + 30d = - 3</em></strong><strong><em>2</em></strong><strong><em> + 210 \\ \\ = 17</em></strong><strong><em>8</em></strong><strong><em>$

${\boxed{\boxed{178}}}$

HOPE IT HELPS YOU

HAPPY HOLI ❤