Q. ᴛʜᴇ ꜰɪʀꜱᴛ ᴀɴᴅ ᴛʜᴇ ʟᴀꜱᴛ ᴛᴇʀᴍꜱ ᴏꜰ ᴀɴ ᴀᴘ ᴀʀᴇ 10 ᴀɴᴅ 361 ʀᴇꜱᴘᴇᴄᴛɪᴠᴇʟʏ. ɪꜰ ɪᴛꜱ ᴄᴏᴍᴍᴏɴ ᴅɪꜰꜰᴇʀᴇɴᴄᴇ ɪꜱ 9 ᴛʜᴇɴ ꜰɪɴᴅ ᴛʜᴇ ɴᴜᴍʙᴇʀ ᴏꜰ ᴛᴇʀᴍꜱ ᴀɴᴅ ᴛʜᴇɪʀ ᴛᴏᴛᴀʟ ꜱᴜᴍ??!
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Answered by
66
Answer:
First term a = 10. Last term an = l = 361. Common difference, d = 9. ⇒ n = 40.
Step-by-step explanation:
(Putting Values)
361 = 10 + (n - 1)9
⟹ 361 - 10 = (n - 1)9
⟹ 351 = (n - 1)9
⟹ 351/9 = n - 1
⟹ 39 = n - 1
⟹ 39 + 1 = n
⟹ 40 = n
Now, using Sum of terms of an AP formula
S_n = n/2a + 1
Sn = 40 (10 + 361)/ 2
⟹ Sn = 40 (371) / 2
⟹ Sn = 14840 / 2
⟹ Sn = 7420
Answered by
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well it was little bit hard for me.
hope it helps you
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