Question

Consider the arithmetic Sequence 3, 10, 17, 2

a) What is it's common difference?
b) What is it's algebraic form?
c) Find the position of 136 in this Sequence ?​

Answer 1

Answer:

Common difference is 7

3+7 , 10+7, 17+7.

19

Step-by-step explanation:

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Answer 2

ᴛʜɪs ɪs ᴀɴ ᴀʀɪᴛʜᴍᴇᴛɪᴄ sᴇǫᴜᴇɴᴄᴇ sɪɴᴄᴇ ᴛʜᴇʀᴇ ɪs ᴀ ᴄᴏᴍᴍᴏɴ ᴅɪғғᴇʀᴇɴᴄᴇ ʙᴇᴛᴡᴇᴇɴ ᴇᴀᴄʜ ᴛᴇʀᴍ. ɪɴ ᴛʜɪs ᴄᴀsᴇ, ᴀᴅᴅɪɴɢ 77 ᴛᴏ ᴛʜᴇ ᴘʀᴇᴠɪᴏᴜs ᴛᴇʀᴍ ɪɴ ᴛʜᴇ sᴇǫᴜᴇɴᴄᴇ ɢɪᴠᴇs ᴛʜᴇ ɴᴇxᴛ ᴛᴇʀᴍ. ɪɴ ᴏᴛʜᴇʀ ᴡᴏʀᴅs, ᴀɴ=ᴀ1+ᴅ(ɴ−1)ᴀɴ=ᴀ1+ᴅ(ɴ-1).

ᴀʀɪᴛʜᴍᴇᴛɪᴄ sᴇǫᴜᴇɴᴄᴇ: ᴅ=7ᴅ=7

ᴛʜɪs ɪs ᴛʜᴇ ғᴏʀᴍᴜʟᴀ ᴏғ ᴀɴ ᴀʀɪᴛʜᴍᴇᴛɪᴄ sᴇǫᴜᴇɴᴄᴇ.

ᴀɴ=ᴀ1+ᴅ(ɴ−1)ᴀɴ=ᴀ1+ᴅ(ɴ-1)

sᴜʙsᴛɪᴛᴜᴛᴇ ɪɴ ᴛʜᴇ ᴠᴀʟᴜᴇs ᴏғ ᴀ1=3ᴀ1=3 ᴀɴᴅ ᴅ=7ᴅ=7.

ᴀɴ=3+(7)(ɴ−1)ᴀɴ=3+(7)(ɴ-1)

sɪᴍᴘʟɪғʏ ᴇᴀᴄʜ ᴛᴇʀᴍ.

ᴛᴀᴘ ғᴏʀ ᴍᴏʀᴇ sᴛᴇᴘs...

ᴀɴ=3+7ɴ−7ᴀɴ=3+7ɴ-7

sᴜʙᴛʀᴀᴄᴛ 77 ғʀᴏᴍ 33.

ᴀɴ=7ɴ−4ᴀɴ=7ɴ-4