Question

if 6 times the 6 term of an AP is equal 7 times the 7th term ,then 13th term is....​

Answer 1

MARK it as brainliest answer

Answer 2

$\huge\blue{Answer}$

ʟᴇᴛ ᴀ ʙᴇ ᴛʜᴇ ꜰɪʀꜱᴛ ᴛᴇʀᴍ ᴏꜰ ᴀᴩ ᴀɴᴅ ᴅ ʙᴇ ᴛʜᴇ ᴄᴏᴍᴍɪɴ ᴅɪꜰꜰᴇʀᴇɴᴄᴇ.

6ᴀ6 = 7ᴀ7

=> 6(ᴀ+5ᴅ) = 7(ᴀ+6ᴅ)

=> 6ᴀ+30ᴅ = 7ᴀ+42ᴅ

=> 6ᴀ-7ᴀ = 42ᴅ-30ᴅ

=> -ᴀ = 12ᴅ

=> -ᴀ-12ᴅ = 0

=> ᴀ+12ᴅ = 0 [ᴄʜᴀɴɢɪɴɢ ꜱɪɢɴ]

=> ᴀ13 = 0 [ᴀ+12ᴅ = ᴀ13ᴅ]

ʜᴏᴩᴇ ɪᴛ ʜᴇʟᴩꜱ ᴜ !!