Question

1 + 3 + 5 + 7 + ... + 997

Answer 1

Explicación paso a paso:

Tᴀʀᴇᴀ:

• Hᴀʟʟᴀʀ ᴇʟ ʀᴇsᴜʟᴛᴀᴅᴏ ᴅᴇ ʟᴀ sᴜᴍᴀ.

Sᴏʟᴜᴄɪᴏ́ɴ:

• Cᴏᴍᴏ ʏᴀ ʜᴇᴍᴏs ᴠɪsᴛᴏ ʟᴀ sᴜᴍᴀ ᴇs ᴅᴇ ɴᴜ́ᴍᴇʀᴏs sᴜᴄᴇᴄɪᴠᴏs ɪᴍᴘᴀʀᴇs ʏ ᴘᴀʀᴀ ᴇsᴏ ʜᴀʏ ᴜɴᴀ ғᴏʀᴍᴜ́ʟᴀ.
• 1 + 3 + 5 + 7 + ... + (2ɴ - 1) S = ɴ'2
• Aʜᴏʀᴀ ʀᴇᴇᴍᴘʟᴀᴢᴀᴍᴏs ᴇɴ ʟᴀ ғᴏ́ʀᴍᴜʟᴀ.
• $2n - 1 = 997$
• $2n = 998$
• $n = 499$
• ${499}^{2} = 249001$

Esᴘᴇʀᴏ ᴛᴇ sɪʀᴠᴀ. ^-^