Question

ɪɴ ᴀɴ ᴀ.ᴘ. ɪғ ᴍ-ᴛʜ ᴛᴇʀᴍ ɪs 'ɴ' & ᴛʜᴇ ɴ-ᴛʜ ᴛᴇʀᴍ ɪs 'ᴍ' , ᴡʜᴇʀᴇ 'ᴍ' ɪs ɴᴏᴛ ᴇǫᴜᴀʟ ᴛᴏ 'ɴ' , ғɪɴᴅ ᴛʜᴇ ᴘ-ᴛʜ ᴛᴇʀᴍ.​

Answer 1

Solution:-

$\rm \: \underline {Given}$

$\rm \to \: T_m = n$

$\to \: \rm \: T_n = m$

$\rm \underline{To \: find \: }$

$\rm \to \: pth \: term \:$

$\rm \underline{Formula\: }$

$\boxed{ \rm \: T_n = a + (n - 1)d}$

$\rm \underline{Now \: we \: \: can \: write \: as \: } \:$

$\rm \to \: T_m = a + (m - 1)d = n$

$\rm \to \: T_n = a + (n - 1)d = m$

$\rm \underline{we \: have \: }$

$\rm \to \:a + (m - 1)d = n \: \: \: \: \: \: \: \: \: .......(i)eq$

$\rm \to \:a + (n - 1)d = m \: \: \: \: \: \: \: \: \: .......(ii)eq$

$\rm \underline{Now \: (i) - (ii)}$

$\rm \to \: a + dm - d - (a + dn - d) = n - m$

$\rm \to \: \cancel{a} + dm - \cancel d - \cancel{ a }- dn + \cancel d = n - m$

$\rm \to \: dm - dn = n - m$

$\to\rm \: (m - n)d = n - m$

$\rm \to \: \cancel{(m - n)}d = - \cancel{(m - n)}$

$\rm \: \to d = - 1$

$\rm \underline{put \: d \: = - 1 \: in \: (i)st \: eq}$

$\rm \to \:a + (m - 1) \times - 1= n \: \: \: \: \: \: \: \: \: .......(i)eq$

$\rm \: \to \: a - m + 1 = n$

$\to\rm \: a = m + n - 1$

$\rm \underline{we \: have \: to \: find \: pth \: term \: }$

$\to\rm \: T_p = a + (p - 1)d$

$\rm \to \: T_p = (m + n - 1) + (p - 1) \times - 1$

$\rm \to \: T_p = m + n - 1 - p + 1$

$\rm \to \: T_p = m + n - p$

$\rm \underline{Answer}$

$\rm \to \: T_p = m + n - p$

Answer 2

Answer:

Write a paragraph on your best friend (not less than 50 words).

▪︎ All the rules for 'writing a paragraph' must be followed !

⚠️No SPAM

ₕₑᵣₑ ᵦᵧ ᵢ ₑₗₐᵣₑ ₜₕₑ ᵢₙₙₑᵣ ₒ ₜₕₑ ₜₕₐₙₖₛ ᵢᵥᵢₙ ₒₘₚₑₜᵢₜᵢₒₙ..ₓD

⚡ ⱼᵢₛᵤ ₋ ₂₀₀₊ ❤ O_O ₍ₗᵤᵥ ᵤ ₐ ₗₒₜ ⱼᵢₛₙₐₖᵤₜₜᵧ..₎

Step-by-step explanation:

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