続けて and 続いて: continuing an action and the next item
Compare consecutive performances with a question period after a presentation, checking which action continues and what comes next.
Continuing or repeating an action
続けて, read つづけて, can describe continuing an action or repeating it consecutively. 二曲を続けて弾きました。 says that two pieces were played consecutively.
この練習を続けてください。 asks for this practice to continue. この練習 identifies the activity being maintained.
Presenting the next item
続いて, read つづいて, can introduce what follows. 発表に続いて、質問の時間があります。 says that a question period follows the presentation.
続いて、次の方にお話しいただきます。 introduces the next person’s talk. It does not ask the same person to repeat the same words.
The continued action and the following interval
説明を続けてから、別の作業に移りました。 says that the explanation was continued before moving to another task. The explanation is the object of 続けて.
説明に続いて、十分間休憩します。 schedules a ten-minute break after the explanation. 続いて can introduce a rest period as the next item.
Does 説明に続いて、十分間休憩します。 mean continuing the explanation without a break?
Show the answer and why
No. It explicitly specifies a ten-minute break as the item following the explanation.