Between 1 and 31, m no. …

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Sia ? 6 years, 3 months ago
1, A1, A2, A3, ----- Am, 31 are in AP.
a = 1
an = 31
{tex}a _ { m + 2 } = 314{/tex}

an = a + (n - 1)d
31 = a + (m + 2 - 1)d
{tex}d = \frac { 30 } { m + 1 }{/tex}
{tex}\frac { A 7 } { A _ { n - 1 } } = \frac { 5 } { 9 }{/tex} (Given)
{tex}\frac { 1 + 7 \left( \frac { 30 } { m + 1 } \right) } { 1 + ( m - 1 ) \left( \frac { 30 } { m + 1 } \right) } = \frac { 5 } { 9 }{/tex}
m = 1
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